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Finding the Fourth Proportional to 3,101.60, 4,652.54 and 1,542.35

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Solution

The fourth proportional to 3,101.60, 4,652.54 and 1,542.35 is: 2,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.60 : 4,652.54 = 1,542.35 : x
  2. Step 2: Convert to fraction form
    3,101.60/4,652.54 = 1,542.35/x
  3. Step 3: Cross multiply
    3,101.60x = 4,652.54 × 1,542.35
  4. Step 4: Simplify right side
    3,101.60x = 7,175,845.07
  5. Step 5: Solve for x
    x = 7,175,845.07/3,101.60
  6. Step 6: Final answer
    x = 2,313.59

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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.