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Finding the Fourth Proportional to 1,540.98, 2,126.22 and 877.65

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Solution

The fourth proportional to 1,540.98, 2,126.22 and 877.65 is: 1,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.98 : 2,126.22 = 877.65 : x
  2. Step 2: Convert to fraction form
    1,540.98/2,126.22 = 877.65/x
  3. Step 3: Cross multiply
    1,540.98x = 2,126.22 × 877.65
  4. Step 4: Simplify right side
    1,540.98x = 1,866,076.98
  5. Step 5: Solve for x
    x = 1,866,076.98/1,540.98
  6. Step 6: Final answer
    x = 1,210.97

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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.