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Finding the Fourth Proportional to 2,476.17, 3,708.18 and 1,174.50

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Solution

The fourth proportional to 2,476.17, 3,708.18 and 1,174.50 is: 1,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.17 : 3,708.18 = 1,174.50 : x
  2. Step 2: Convert to fraction form
    2,476.17/3,708.18 = 1,174.50/x
  3. Step 3: Cross multiply
    2,476.17x = 3,708.18 × 1,174.50
  4. Step 4: Simplify right side
    2,476.17x = 4,355,257.41
  5. Step 5: Solve for x
    x = 4,355,257.41/2,476.17
  6. Step 6: Final answer
    x = 1,758.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.