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Finding the Fourth Proportional to 2,473.98, 3,711.09 and 1,377.52

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Solution

The fourth proportional to 2,473.98, 3,711.09 and 1,377.52 is: 2,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.98 : 3,711.09 = 1,377.52 : x
  2. Step 2: Convert to fraction form
    2,473.98/3,711.09 = 1,377.52/x
  3. Step 3: Cross multiply
    2,473.98x = 3,711.09 × 1,377.52
  4. Step 4: Simplify right side
    2,473.98x = 5,112,113.59
  5. Step 5: Solve for x
    x = 5,112,113.59/2,473.98
  6. Step 6: Final answer
    x = 2,066.35

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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.