Home / 1,577.38-2,177.49-1,137.46

Finding the Fourth Proportional to 1,577.38, 2,177.49 and 1,137.46

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Solution

The fourth proportional to 1,577.38, 2,177.49 and 1,137.46 is: 1,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.38 : 2,177.49 = 1,137.46 : x
  2. Step 2: Convert to fraction form
    1,577.38/2,177.49 = 1,137.46/x
  3. Step 3: Cross multiply
    1,577.38x = 2,177.49 × 1,137.46
  4. Step 4: Simplify right side
    1,577.38x = 2,476,807.78
  5. Step 5: Solve for x
    x = 2,476,807.78/1,577.38
  6. Step 6: Final answer
    x = 1,570.20

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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.