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Finding the Fourth Proportional to 1,577.28, 2,176.02 and 987.42

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Solution

The fourth proportional to 1,577.28, 2,176.02 and 987.42 is: 1,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.28 : 2,176.02 = 987.42 : x
  2. Step 2: Convert to fraction form
    1,577.28/2,176.02 = 987.42/x
  3. Step 3: Cross multiply
    1,577.28x = 2,176.02 × 987.42
  4. Step 4: Simplify right side
    1,577.28x = 2,148,645.67
  5. Step 5: Solve for x
    x = 2,148,645.67/1,577.28
  6. Step 6: Final answer
    x = 1,362.25

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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.