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Finding the Fourth Proportional to 1,688, 2,531.58 and 1,414.22

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Solution

The fourth proportional to 1,688, 2,531.58 and 1,414.22 is: 2,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688 : 2,531.58 = 1,414.22 : x
  2. Step 2: Convert to fraction form
    1,688/2,531.58 = 1,414.22/x
  3. Step 3: Cross multiply
    1,688x = 2,531.58 × 1,414.22
  4. Step 4: Simplify right side
    1,688x = 3,580,211.07
  5. Step 5: Solve for x
    x = 3,580,211.07/1,688
  6. Step 6: Final answer
    x = 2,120.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.