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Finding the Fourth Proportional to 2,752.90, 4,127.19 and 1,884.58

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Solution

The fourth proportional to 2,752.90, 4,127.19 and 1,884.58 is: 2,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.90 : 4,127.19 = 1,884.58 : x
  2. Step 2: Convert to fraction form
    2,752.90/4,127.19 = 1,884.58/x
  3. Step 3: Cross multiply
    2,752.90x = 4,127.19 × 1,884.58
  4. Step 4: Simplify right side
    2,752.90x = 7,778,019.73
  5. Step 5: Solve for x
    x = 7,778,019.73/2,752.90
  6. Step 6: Final answer
    x = 2,825.39

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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.