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Finding the Fourth Proportional to 1,540.62, 2,126.03 and 877.46

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Solution

The fourth proportional to 1,540.62, 2,126.03 and 877.46 is: 1,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.62 : 2,126.03 = 877.46 : x
  2. Step 2: Convert to fraction form
    1,540.62/2,126.03 = 877.46/x
  3. Step 3: Cross multiply
    1,540.62x = 2,126.03 × 877.46
  4. Step 4: Simplify right side
    1,540.62x = 1,865,491.27
  5. Step 5: Solve for x
    x = 1,865,491.27/1,540.62
  6. Step 6: Final answer
    x = 1,210.87

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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.