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Finding the Fourth Proportional to 2,658.86, 3,669.72 and 1,540.52

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Solution

The fourth proportional to 2,658.86, 3,669.72 and 1,540.52 is: 2,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.86 : 3,669.72 = 1,540.52 : x
  2. Step 2: Convert to fraction form
    2,658.86/3,669.72 = 1,540.52/x
  3. Step 3: Cross multiply
    2,658.86x = 3,669.72 × 1,540.52
  4. Step 4: Simplify right side
    2,658.86x = 5,653,277.05
  5. Step 5: Solve for x
    x = 5,653,277.05/2,658.86
  6. Step 6: Final answer
    x = 2,126.20

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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.