Home / 1,537.71-2,122.89-1,034.30

Finding the Fourth Proportional to 1,537.71, 2,122.89 and 1,034.30

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Solution

The fourth proportional to 1,537.71, 2,122.89 and 1,034.30 is: 1,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.71 : 2,122.89 = 1,034.30 : x
  2. Step 2: Convert to fraction form
    1,537.71/2,122.89 = 1,034.30/x
  3. Step 3: Cross multiply
    1,537.71x = 2,122.89 × 1,034.30
  4. Step 4: Simplify right side
    1,537.71x = 2,195,694.51
  5. Step 5: Solve for x
    x = 2,195,694.51/1,537.71
  6. Step 6: Final answer
    x = 1,427.90

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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.