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Finding the Fourth Proportional to 2,013.57, 2,778.74 and 1,314.95

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Solution

The fourth proportional to 2,013.57, 2,778.74 and 1,314.95 is: 1,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.57 : 2,778.74 = 1,314.95 : x
  2. Step 2: Convert to fraction form
    2,013.57/2,778.74 = 1,314.95/x
  3. Step 3: Cross multiply
    2,013.57x = 2,778.74 × 1,314.95
  4. Step 4: Simplify right side
    2,013.57x = 3,653,883.69
  5. Step 5: Solve for x
    x = 3,653,883.69/2,013.57
  6. Step 6: Final answer
    x = 1,814.63

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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.