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Finding the Fourth Proportional to 1,725.57, 2,380.19 and 1,411.29

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Solution

The fourth proportional to 1,725.57, 2,380.19 and 1,411.29 is: 1,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.57 : 2,380.19 = 1,411.29 : x
  2. Step 2: Convert to fraction form
    1,725.57/2,380.19 = 1,411.29/x
  3. Step 3: Cross multiply
    1,725.57x = 2,380.19 × 1,411.29
  4. Step 4: Simplify right side
    1,725.57x = 3,359,131.29
  5. Step 5: Solve for x
    x = 3,359,131.29/1,725.57
  6. Step 6: Final answer
    x = 1,946.68

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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.