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Finding the Fourth Proportional to 1,657.91, 2,285.17 and 1,422.13

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Solution

The fourth proportional to 1,657.91, 2,285.17 and 1,422.13 is: 1,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.91 : 2,285.17 = 1,422.13 : x
  2. Step 2: Convert to fraction form
    1,657.91/2,285.17 = 1,422.13/x
  3. Step 3: Cross multiply
    1,657.91x = 2,285.17 × 1,422.13
  4. Step 4: Simplify right side
    1,657.91x = 3,249,799.54
  5. Step 5: Solve for x
    x = 3,249,799.54/1,657.91
  6. Step 6: Final answer
    x = 1,960.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.