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Finding the Fourth Proportional to 1,421.93, 2,132.71 and 497.41

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Solution

The fourth proportional to 1,421.93, 2,132.71 and 497.41 is: 746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.93 : 2,132.71 = 497.41 : x
  2. Step 2: Convert to fraction form
    1,421.93/2,132.71 = 497.41/x
  3. Step 3: Cross multiply
    1,421.93x = 2,132.71 × 497.41
  4. Step 4: Simplify right side
    1,421.93x = 1,060,824.71
  5. Step 5: Solve for x
    x = 1,060,824.71/1,421.93
  6. Step 6: Final answer
    x = 746.04

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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.