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Finding the Fourth Proportional to 1,871.12, 2,802.42 and 897.92

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Solution

The fourth proportional to 1,871.12, 2,802.42 and 897.92 is: 1,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.12 : 2,802.42 = 897.92 : x
  2. Step 2: Convert to fraction form
    1,871.12/2,802.42 = 897.92/x
  3. Step 3: Cross multiply
    1,871.12x = 2,802.42 × 897.92
  4. Step 4: Simplify right side
    1,871.12x = 2,516,348.97
  5. Step 5: Solve for x
    x = 2,516,348.97/1,871.12
  6. Step 6: Final answer
    x = 1,344.84

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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.