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Finding the Fourth Proportional to 2,427.63, 3,641.46 and 784.18

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Solution

The fourth proportional to 2,427.63, 3,641.46 and 784.18 is: 1,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.63 : 3,641.46 = 784.18 : x
  2. Step 2: Convert to fraction form
    2,427.63/3,641.46 = 784.18/x
  3. Step 3: Cross multiply
    2,427.63x = 3,641.46 × 784.18
  4. Step 4: Simplify right side
    2,427.63x = 2,855,560.10
  5. Step 5: Solve for x
    x = 2,855,560.10/2,427.63
  6. Step 6: Final answer
    x = 1,176.27

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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.