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Finding the Fourth Proportional to 1,577.71, 2,177.36 and 879.04

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Solution

The fourth proportional to 1,577.71, 2,177.36 and 879.04 is: 1,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.71 : 2,177.36 = 879.04 : x
  2. Step 2: Convert to fraction form
    1,577.71/2,177.36 = 879.04/x
  3. Step 3: Cross multiply
    1,577.71x = 2,177.36 × 879.04
  4. Step 4: Simplify right side
    1,577.71x = 1,913,986.53
  5. Step 5: Solve for x
    x = 1,913,986.53/1,577.71
  6. Step 6: Final answer
    x = 1,213.14

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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.