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Finding the Fourth Proportional to 2,659.58, 3,984.98 and 1,545.87

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Solution

The fourth proportional to 2,659.58, 3,984.98 and 1,545.87 is: 2,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.58 : 3,984.98 = 1,545.87 : x
  2. Step 2: Convert to fraction form
    2,659.58/3,984.98 = 1,545.87/x
  3. Step 3: Cross multiply
    2,659.58x = 3,984.98 × 1,545.87
  4. Step 4: Simplify right side
    2,659.58x = 6,160,279.84
  5. Step 5: Solve for x
    x = 6,160,279.84/2,659.58
  6. Step 6: Final answer
    x = 2,316.26

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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.