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Finding the Fourth Proportional to 1,340.80, 2,013.12 and 1,214.08

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Solution

The fourth proportional to 1,340.80, 2,013.12 and 1,214.08 is: 1,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.80 : 2,013.12 = 1,214.08 : x
  2. Step 2: Convert to fraction form
    1,340.80/2,013.12 = 1,214.08/x
  3. Step 3: Cross multiply
    1,340.80x = 2,013.12 × 1,214.08
  4. Step 4: Simplify right side
    1,340.80x = 2,444,088.73
  5. Step 5: Solve for x
    x = 2,444,088.73/1,340.80
  6. Step 6: Final answer
    x = 1,822.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.