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Finding the Fourth Proportional to 3,098.84, 4,644.68 and 1,429.47

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Solution

The fourth proportional to 3,098.84, 4,644.68 and 1,429.47 is: 2,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.84 : 4,644.68 = 1,429.47 : x
  2. Step 2: Convert to fraction form
    3,098.84/4,644.68 = 1,429.47/x
  3. Step 3: Cross multiply
    3,098.84x = 4,644.68 × 1,429.47
  4. Step 4: Simplify right side
    3,098.84x = 6,639,430.72
  5. Step 5: Solve for x
    x = 6,639,430.72/3,098.84
  6. Step 6: Final answer
    x = 2,142.55

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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.