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Finding the Fourth Proportional to 2,374.02, 3,557.07 and 2,101.86

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Solution

The fourth proportional to 2,374.02, 3,557.07 and 2,101.86 is: 3,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.02 : 3,557.07 = 2,101.86 : x
  2. Step 2: Convert to fraction form
    2,374.02/3,557.07 = 2,101.86/x
  3. Step 3: Cross multiply
    2,374.02x = 3,557.07 × 2,101.86
  4. Step 4: Simplify right side
    2,374.02x = 7,476,463.15
  5. Step 5: Solve for x
    x = 7,476,463.15/2,374.02
  6. Step 6: Final answer
    x = 3,149.28

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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.