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Finding the Fourth Proportional to 1,540.85, 2,126.37 and 877.74

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Solution

The fourth proportional to 1,540.85, 2,126.37 and 877.74 is: 1,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.85 : 2,126.37 = 877.74 : x
  2. Step 2: Convert to fraction form
    1,540.85/2,126.37 = 877.74/x
  3. Step 3: Cross multiply
    1,540.85x = 2,126.37 × 877.74
  4. Step 4: Simplify right side
    1,540.85x = 1,866,400.00
  5. Step 5: Solve for x
    x = 1,866,400.00/1,540.85
  6. Step 6: Final answer
    x = 1,211.28

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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.