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Finding the Fourth Proportional to 2,179.61, 3,269.40 and 718.76

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Solution

The fourth proportional to 2,179.61, 3,269.40 and 718.76 is: 1,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.61 : 3,269.40 = 718.76 : x
  2. Step 2: Convert to fraction form
    2,179.61/3,269.40 = 718.76/x
  3. Step 3: Cross multiply
    2,179.61x = 3,269.40 × 718.76
  4. Step 4: Simplify right side
    2,179.61x = 2,349,901.03
  5. Step 5: Solve for x
    x = 2,349,901.03/2,179.61
  6. Step 6: Final answer
    x = 1,078.13

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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.