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Finding the Fourth Proportional to 1,647.18, 2,471.04 and 722.70

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Solution

The fourth proportional to 1,647.18, 2,471.04 and 722.70 is: 1,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.18 : 2,471.04 = 722.70 : x
  2. Step 2: Convert to fraction form
    1,647.18/2,471.04 = 722.70/x
  3. Step 3: Cross multiply
    1,647.18x = 2,471.04 × 722.70
  4. Step 4: Simplify right side
    1,647.18x = 1,785,820.61
  5. Step 5: Solve for x
    x = 1,785,820.61/1,647.18
  6. Step 6: Final answer
    x = 1,084.17

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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.