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Finding the Fourth Proportional to 3,032.86, 4,542.63 and 2,506.90

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Solution

The fourth proportional to 3,032.86, 4,542.63 and 2,506.90 is: 3,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.86 : 4,542.63 = 2,506.90 : x
  2. Step 2: Convert to fraction form
    3,032.86/4,542.63 = 2,506.90/x
  3. Step 3: Cross multiply
    3,032.86x = 4,542.63 × 2,506.90
  4. Step 4: Simplify right side
    3,032.86x = 11,387,919.15
  5. Step 5: Solve for x
    x = 11,387,919.15/3,032.86
  6. Step 6: Final answer
    x = 3,754.84

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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.