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Finding the Fourth Proportional to 2,447.74, 3,671.75 and 1,587.52

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Solution

The fourth proportional to 2,447.74, 3,671.75 and 1,587.52 is: 2,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.74 : 3,671.75 = 1,587.52 : x
  2. Step 2: Convert to fraction form
    2,447.74/3,671.75 = 1,587.52/x
  3. Step 3: Cross multiply
    2,447.74x = 3,671.75 × 1,587.52
  4. Step 4: Simplify right side
    2,447.74x = 5,828,968.62
  5. Step 5: Solve for x
    x = 5,828,968.62/2,447.74
  6. Step 6: Final answer
    x = 2,381.37

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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.