Home / 1,577.70-2,177.28-869.58

Finding the Fourth Proportional to 1,577.70, 2,177.28 and 869.58

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Solution

The fourth proportional to 1,577.70, 2,177.28 and 869.58 is: 1,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.70 : 2,177.28 = 869.58 : x
  2. Step 2: Convert to fraction form
    1,577.70/2,177.28 = 869.58/x
  3. Step 3: Cross multiply
    1,577.70x = 2,177.28 × 869.58
  4. Step 4: Simplify right side
    1,577.70x = 1,893,319.14
  5. Step 5: Solve for x
    x = 1,893,319.14/1,577.70
  6. Step 6: Final answer
    x = 1,200.05

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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.