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Finding the Fourth Proportional to 2,474.08, 3,710.04 and 934

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Solution

The fourth proportional to 2,474.08, 3,710.04 and 934 is: 1,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.08 : 3,710.04 = 934 : x
  2. Step 2: Convert to fraction form
    2,474.08/3,710.04 = 934/x
  3. Step 3: Cross multiply
    2,474.08x = 3,710.04 × 934
  4. Step 4: Simplify right side
    2,474.08x = 3,465,177.36
  5. Step 5: Solve for x
    x = 3,465,177.36/2,474.08
  6. Step 6: Final answer
    x = 1,400.59

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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.