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Finding the Fourth Proportional to 2,825.18, 4,238.49 and 877.40

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Solution

The fourth proportional to 2,825.18, 4,238.49 and 877.40 is: 1,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.18 : 4,238.49 = 877.40 : x
  2. Step 2: Convert to fraction form
    2,825.18/4,238.49 = 877.40/x
  3. Step 3: Cross multiply
    2,825.18x = 4,238.49 × 877.40
  4. Step 4: Simplify right side
    2,825.18x = 3,718,851.13
  5. Step 5: Solve for x
    x = 3,718,851.13/2,825.18
  6. Step 6: Final answer
    x = 1,316.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.