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Finding the Fourth Proportional to 1,641.42, 2,461.68 and 487.14

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Solution

The fourth proportional to 1,641.42, 2,461.68 and 487.14 is: 730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.42 : 2,461.68 = 487.14 : x
  2. Step 2: Convert to fraction form
    1,641.42/2,461.68 = 487.14/x
  3. Step 3: Cross multiply
    1,641.42x = 2,461.68 × 487.14
  4. Step 4: Simplify right side
    1,641.42x = 1,199,182.80
  5. Step 5: Solve for x
    x = 1,199,182.80/1,641.42
  6. Step 6: Final answer
    x = 730.58

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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.