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Finding the Fourth Proportional to 3,141.74, 4,712.60 and 1,291.55

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Solution

The fourth proportional to 3,141.74, 4,712.60 and 1,291.55 is: 1,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.74 : 4,712.60 = 1,291.55 : x
  2. Step 2: Convert to fraction form
    3,141.74/4,712.60 = 1,291.55/x
  3. Step 3: Cross multiply
    3,141.74x = 4,712.60 × 1,291.55
  4. Step 4: Simplify right side
    3,141.74x = 6,086,528.51
  5. Step 5: Solve for x
    x = 6,086,528.51/3,141.74
  6. Step 6: Final answer
    x = 1,937.31

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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.