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Finding the Fourth Proportional to 1,564.43, 2,160.71 and 1,232.43

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Solution

The fourth proportional to 1,564.43, 2,160.71 and 1,232.43 is: 1,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.43 : 2,160.71 = 1,232.43 : x
  2. Step 2: Convert to fraction form
    1,564.43/2,160.71 = 1,232.43/x
  3. Step 3: Cross multiply
    1,564.43x = 2,160.71 × 1,232.43
  4. Step 4: Simplify right side
    1,564.43x = 2,662,914.18
  5. Step 5: Solve for x
    x = 2,662,914.18/1,564.43
  6. Step 6: Final answer
    x = 1,702.17

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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.