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Finding the Fourth Proportional to 2,473.29, 3,709.89 and 1,012.10

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Solution

The fourth proportional to 2,473.29, 3,709.89 and 1,012.10 is: 1,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.29 : 3,709.89 = 1,012.10 : x
  2. Step 2: Convert to fraction form
    2,473.29/3,709.89 = 1,012.10/x
  3. Step 3: Cross multiply
    2,473.29x = 3,709.89 × 1,012.10
  4. Step 4: Simplify right side
    2,473.29x = 3,754,761.12
  5. Step 5: Solve for x
    x = 3,754,761.12/2,473.29
  6. Step 6: Final answer
    x = 1,518.12

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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.