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Finding the Fourth Proportional to 3,060, 4,588.50 and 979.47

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Solution

The fourth proportional to 3,060, 4,588.50 and 979.47 is: 1,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060 : 4,588.50 = 979.47 : x
  2. Step 2: Convert to fraction form
    3,060/4,588.50 = 979.47/x
  3. Step 3: Cross multiply
    3,060x = 4,588.50 × 979.47
  4. Step 4: Simplify right side
    3,060x = 4,494,298.10
  5. Step 5: Solve for x
    x = 4,494,298.10/3,060
  6. Step 6: Final answer
    x = 1,468.72

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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.