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Finding the Fourth Proportional to 2,476.64, 3,715.49 and 745.13

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Solution

The fourth proportional to 2,476.64, 3,715.49 and 745.13 is: 1,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.64 : 3,715.49 = 745.13 : x
  2. Step 2: Convert to fraction form
    2,476.64/3,715.49 = 745.13/x
  3. Step 3: Cross multiply
    2,476.64x = 3,715.49 × 745.13
  4. Step 4: Simplify right side
    2,476.64x = 2,768,506.35
  5. Step 5: Solve for x
    x = 2,768,506.35/2,476.64
  6. Step 6: Final answer
    x = 1,117.85

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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.