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Finding the Fourth Proportional to 1,538.97, 2,123.62 and 875.58

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Solution

The fourth proportional to 1,538.97, 2,123.62 and 875.58 is: 1,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.97 : 2,123.62 = 875.58 : x
  2. Step 2: Convert to fraction form
    1,538.97/2,123.62 = 875.58/x
  3. Step 3: Cross multiply
    1,538.97x = 2,123.62 × 875.58
  4. Step 4: Simplify right side
    1,538.97x = 1,859,399.20
  5. Step 5: Solve for x
    x = 1,859,399.20/1,538.97
  6. Step 6: Final answer
    x = 1,208.21

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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.