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Finding the Fourth Proportional to 1,561.25, 2,154.53 and 862.63

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Solution

The fourth proportional to 1,561.25, 2,154.53 and 862.63 is: 1,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.25 : 2,154.53 = 862.63 : x
  2. Step 2: Convert to fraction form
    1,561.25/2,154.53 = 862.63/x
  3. Step 3: Cross multiply
    1,561.25x = 2,154.53 × 862.63
  4. Step 4: Simplify right side
    1,561.25x = 1,858,562.21
  5. Step 5: Solve for x
    x = 1,858,562.21/1,561.25
  6. Step 6: Final answer
    x = 1,190.43

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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.