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Finding the Fourth Proportional to 2,013.95, 2,776.33 and 1,414.62

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Solution

The fourth proportional to 2,013.95, 2,776.33 and 1,414.62 is: 1,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.95 : 2,776.33 = 1,414.62 : x
  2. Step 2: Convert to fraction form
    2,013.95/2,776.33 = 1,414.62/x
  3. Step 3: Cross multiply
    2,013.95x = 2,776.33 × 1,414.62
  4. Step 4: Simplify right side
    2,013.95x = 3,927,443.30
  5. Step 5: Solve for x
    x = 3,927,443.30/2,013.95
  6. Step 6: Final answer
    x = 1,950.12

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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.