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Finding the Fourth Proportional to 2,013.96, 2,778.42 and 1,184.52

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Solution

The fourth proportional to 2,013.96, 2,778.42 and 1,184.52 is: 1,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.96 : 2,778.42 = 1,184.52 : x
  2. Step 2: Convert to fraction form
    2,013.96/2,778.42 = 1,184.52/x
  3. Step 3: Cross multiply
    2,013.96x = 2,778.42 × 1,184.52
  4. Step 4: Simplify right side
    2,013.96x = 3,291,094.06
  5. Step 5: Solve for x
    x = 3,291,094.06/2,013.96
  6. Step 6: Final answer
    x = 1,634.14

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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.