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Finding the Fourth Proportional to 2,784.13, 3,842.09 and 1,542.13

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Solution

The fourth proportional to 2,784.13, 3,842.09 and 1,542.13 is: 2,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.13 : 3,842.09 = 1,542.13 : x
  2. Step 2: Convert to fraction form
    2,784.13/3,842.09 = 1,542.13/x
  3. Step 3: Cross multiply
    2,784.13x = 3,842.09 × 1,542.13
  4. Step 4: Simplify right side
    2,784.13x = 5,925,002.25
  5. Step 5: Solve for x
    x = 5,925,002.25/2,784.13
  6. Step 6: Final answer
    x = 2,128.13

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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.