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Finding the Fourth Proportional to 1,540.61, 2,125.28 and 910.83

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Solution

The fourth proportional to 1,540.61, 2,125.28 and 910.83 is: 1,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.61 : 2,125.28 = 910.83 : x
  2. Step 2: Convert to fraction form
    1,540.61/2,125.28 = 910.83/x
  3. Step 3: Cross multiply
    1,540.61x = 2,125.28 × 910.83
  4. Step 4: Simplify right side
    1,540.61x = 1,935,764.23
  5. Step 5: Solve for x
    x = 1,935,764.23/1,540.61
  6. Step 6: Final answer
    x = 1,256.49

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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.