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Finding the Fourth Proportional to 1,671.84, 2,508.18 and 501.83

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Solution

The fourth proportional to 1,671.84, 2,508.18 and 501.83 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.84 : 2,508.18 = 501.83 : x
  2. Step 2: Convert to fraction form
    1,671.84/2,508.18 = 501.83/x
  3. Step 3: Cross multiply
    1,671.84x = 2,508.18 × 501.83
  4. Step 4: Simplify right side
    1,671.84x = 1,258,679.97
  5. Step 5: Solve for x
    x = 1,258,679.97/1,671.84
  6. Step 6: Final answer
    x = 752.87

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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.