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Finding the Fourth Proportional to 2,567.60, 3,851.56 and 878.28

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Solution

The fourth proportional to 2,567.60, 3,851.56 and 878.28 is: 1,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.60 : 3,851.56 = 878.28 : x
  2. Step 2: Convert to fraction form
    2,567.60/3,851.56 = 878.28/x
  3. Step 3: Cross multiply
    2,567.60x = 3,851.56 × 878.28
  4. Step 4: Simplify right side
    2,567.60x = 3,382,748.12
  5. Step 5: Solve for x
    x = 3,382,748.12/2,567.60
  6. Step 6: Final answer
    x = 1,317.47

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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.