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Finding the Fourth Proportional to 1,725.57, 2,575.85 and 1,597.10

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Solution

The fourth proportional to 1,725.57, 2,575.85 and 1,597.10 is: 2,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.57 : 2,575.85 = 1,597.10 : x
  2. Step 2: Convert to fraction form
    1,725.57/2,575.85 = 1,597.10/x
  3. Step 3: Cross multiply
    1,725.57x = 2,575.85 × 1,597.10
  4. Step 4: Simplify right side
    1,725.57x = 4,113,869.17
  5. Step 5: Solve for x
    x = 4,113,869.17/1,725.57
  6. Step 6: Final answer
    x = 2,384.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.