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Finding the Fourth Proportional to 1,525.67, 2,102.32 and 1,053.71

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Solution

The fourth proportional to 1,525.67, 2,102.32 and 1,053.71 is: 1,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.67 : 2,102.32 = 1,053.71 : x
  2. Step 2: Convert to fraction form
    1,525.67/2,102.32 = 1,053.71/x
  3. Step 3: Cross multiply
    1,525.67x = 2,102.32 × 1,053.71
  4. Step 4: Simplify right side
    1,525.67x = 2,215,235.61
  5. Step 5: Solve for x
    x = 2,215,235.61/1,525.67
  6. Step 6: Final answer
    x = 1,451.98

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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.