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Finding the Fourth Proportional to 1,846.64, 2,769.40 and 547.76

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Solution

The fourth proportional to 1,846.64, 2,769.40 and 547.76 is: 821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.64 : 2,769.40 = 547.76 : x
  2. Step 2: Convert to fraction form
    1,846.64/2,769.40 = 547.76/x
  3. Step 3: Cross multiply
    1,846.64x = 2,769.40 × 547.76
  4. Step 4: Simplify right side
    1,846.64x = 1,516,966.54
  5. Step 5: Solve for x
    x = 1,516,966.54/1,846.64
  6. Step 6: Final answer
    x = 821.47

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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.