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Finding the Fourth Proportional to 1,497.80, 2,257.92 and 1,397.46

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Solution

The fourth proportional to 1,497.80, 2,257.92 and 1,397.46 is: 2,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.80 : 2,257.92 = 1,397.46 : x
  2. Step 2: Convert to fraction form
    1,497.80/2,257.92 = 1,397.46/x
  3. Step 3: Cross multiply
    1,497.80x = 2,257.92 × 1,397.46
  4. Step 4: Simplify right side
    1,497.80x = 3,155,345.90
  5. Step 5: Solve for x
    x = 3,155,345.90/1,497.80
  6. Step 6: Final answer
    x = 2,106.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.