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Finding the Fourth Proportional to 2,474.19, 3,710.19 and 742.41

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Solution

The fourth proportional to 2,474.19, 3,710.19 and 742.41 is: 1,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.19 : 3,710.19 = 742.41 : x
  2. Step 2: Convert to fraction form
    2,474.19/3,710.19 = 742.41/x
  3. Step 3: Cross multiply
    2,474.19x = 3,710.19 × 742.41
  4. Step 4: Simplify right side
    2,474.19x = 2,754,482.16
  5. Step 5: Solve for x
    x = 2,754,482.16/2,474.19
  6. Step 6: Final answer
    x = 1,113.29

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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.