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Finding the Fourth Proportional to 1,572.15, 2,169.68 and 873.53

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Solution

The fourth proportional to 1,572.15, 2,169.68 and 873.53 is: 1,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.15 : 2,169.68 = 873.53 : x
  2. Step 2: Convert to fraction form
    1,572.15/2,169.68 = 873.53/x
  3. Step 3: Cross multiply
    1,572.15x = 2,169.68 × 873.53
  4. Step 4: Simplify right side
    1,572.15x = 1,895,265.35
  5. Step 5: Solve for x
    x = 1,895,265.35/1,572.15
  6. Step 6: Final answer
    x = 1,205.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.