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Finding the Fourth Proportional to 1,540.72, 2,126.05 and 877.43

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Solution

The fourth proportional to 1,540.72, 2,126.05 and 877.43 is: 1,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.72 : 2,126.05 = 877.43 : x
  2. Step 2: Convert to fraction form
    1,540.72/2,126.05 = 877.43/x
  3. Step 3: Cross multiply
    1,540.72x = 2,126.05 × 877.43
  4. Step 4: Simplify right side
    1,540.72x = 1,865,463.17
  5. Step 5: Solve for x
    x = 1,865,463.17/1,540.72
  6. Step 6: Final answer
    x = 1,210.77

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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.