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Finding the Fourth Proportional to 3,151.74, 4,717.89 and 2,053.74

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Solution

The fourth proportional to 3,151.74, 4,717.89 and 2,053.74 is: 3,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.74 : 4,717.89 = 2,053.74 : x
  2. Step 2: Convert to fraction form
    3,151.74/4,717.89 = 2,053.74/x
  3. Step 3: Cross multiply
    3,151.74x = 4,717.89 × 2,053.74
  4. Step 4: Simplify right side
    3,151.74x = 9,689,319.41
  5. Step 5: Solve for x
    x = 9,689,319.41/3,151.74
  6. Step 6: Final answer
    x = 3,074.28

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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.