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Finding the Fourth Proportional to 1,540.10, 2,125.41 and 877.12

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Solution

The fourth proportional to 1,540.10, 2,125.41 and 877.12 is: 1,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.10 : 2,125.41 = 877.12 : x
  2. Step 2: Convert to fraction form
    1,540.10/2,125.41 = 877.12/x
  3. Step 3: Cross multiply
    1,540.10x = 2,125.41 × 877.12
  4. Step 4: Simplify right side
    1,540.10x = 1,864,231.02
  5. Step 5: Solve for x
    x = 1,864,231.02/1,540.10
  6. Step 6: Final answer
    x = 1,210.46

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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.