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Finding the Fourth Proportional to 2,784.17, 3,841.48 and 1,542.17

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Solution

The fourth proportional to 2,784.17, 3,841.48 and 1,542.17 is: 2,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.17 : 3,841.48 = 1,542.17 : x
  2. Step 2: Convert to fraction form
    2,784.17/3,841.48 = 1,542.17/x
  3. Step 3: Cross multiply
    2,784.17x = 3,841.48 × 1,542.17
  4. Step 4: Simplify right side
    2,784.17x = 5,924,226.74
  5. Step 5: Solve for x
    x = 5,924,226.74/2,784.17
  6. Step 6: Final answer
    x = 2,127.82

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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.