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Finding the Fourth Proportional to 1,826,747.64, 2,741,783.58 and 974,541.78

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Solution

The fourth proportional to 1,826,747.64, 2,741,783.58 and 974,541.78 is: 1,462,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,747.64 : 2,741,783.58 = 974,541.78 : x
  2. Step 2: Convert to fraction form
    1,826,747.64/2,741,783.58 = 974,541.78/x
  3. Step 3: Cross multiply
    1,826,747.64x = 2,741,783.58 × 974,541.78
  4. Step 4: Simplify right side
    1,826,747.64x = 2,671,982,650,427.97
  5. Step 5: Solve for x
    x = 2,671,982,650,427.97/1,826,747.64
  6. Step 6: Final answer
    x = 1,462,699.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.