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Finding the Fourth Proportional to 2,474.04, 3,710.15 and 830.15

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Solution

The fourth proportional to 2,474.04, 3,710.15 and 830.15 is: 1,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.04 : 3,710.15 = 830.15 : x
  2. Step 2: Convert to fraction form
    2,474.04/3,710.15 = 830.15/x
  3. Step 3: Cross multiply
    2,474.04x = 3,710.15 × 830.15
  4. Step 4: Simplify right side
    2,474.04x = 3,079,980.02
  5. Step 5: Solve for x
    x = 3,079,980.02/2,474.04
  6. Step 6: Final answer
    x = 1,244.92

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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.