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Finding the Fourth Proportional to 1,601.76, 2,400.24 and 872.80

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Solution

The fourth proportional to 1,601.76, 2,400.24 and 872.80 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.76 : 2,400.24 = 872.80 : x
  2. Step 2: Convert to fraction form
    1,601.76/2,400.24 = 872.80/x
  3. Step 3: Cross multiply
    1,601.76x = 2,400.24 × 872.80
  4. Step 4: Simplify right side
    1,601.76x = 2,094,929.47
  5. Step 5: Solve for x
    x = 2,094,929.47/1,601.76
  6. Step 6: Final answer
    x = 1,307.89

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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.