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Finding the Fourth Proportional to 2,473.49, 3,710.64 and 1,174.52

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Solution

The fourth proportional to 2,473.49, 3,710.64 and 1,174.52 is: 1,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.49 : 3,710.64 = 1,174.52 : x
  2. Step 2: Convert to fraction form
    2,473.49/3,710.64 = 1,174.52/x
  3. Step 3: Cross multiply
    2,473.49x = 3,710.64 × 1,174.52
  4. Step 4: Simplify right side
    2,473.49x = 4,358,234.57
  5. Step 5: Solve for x
    x = 4,358,234.57/2,473.49
  6. Step 6: Final answer
    x = 1,761.98

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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.