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Finding the Fourth Proportional to 3,046.68, 4,572.68 and 1,487.84

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Solution

The fourth proportional to 3,046.68, 4,572.68 and 1,487.84 is: 2,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.68 : 4,572.68 = 1,487.84 : x
  2. Step 2: Convert to fraction form
    3,046.68/4,572.68 = 1,487.84/x
  3. Step 3: Cross multiply
    3,046.68x = 4,572.68 × 1,487.84
  4. Step 4: Simplify right side
    3,046.68x = 6,803,385.91
  5. Step 5: Solve for x
    x = 6,803,385.91/3,046.68
  6. Step 6: Final answer
    x = 2,233.05

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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.