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Finding the Fourth Proportional to 2,476.92, 3,715.29 and 745.50

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Solution

The fourth proportional to 2,476.92, 3,715.29 and 745.50 is: 1,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.92 : 3,715.29 = 745.50 : x
  2. Step 2: Convert to fraction form
    2,476.92/3,715.29 = 745.50/x
  3. Step 3: Cross multiply
    2,476.92x = 3,715.29 × 745.50
  4. Step 4: Simplify right side
    2,476.92x = 2,769,748.70
  5. Step 5: Solve for x
    x = 2,769,748.70/2,476.92
  6. Step 6: Final answer
    x = 1,118.22

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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.