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Finding the Fourth Proportional to 1,540.74, 2,126.18 and 877.69

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Solution

The fourth proportional to 1,540.74, 2,126.18 and 877.69 is: 1,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.74 : 2,126.18 = 877.69 : x
  2. Step 2: Convert to fraction form
    1,540.74/2,126.18 = 877.69/x
  3. Step 3: Cross multiply
    1,540.74x = 2,126.18 × 877.69
  4. Step 4: Simplify right side
    1,540.74x = 1,866,126.92
  5. Step 5: Solve for x
    x = 1,866,126.92/1,540.74
  6. Step 6: Final answer
    x = 1,211.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.