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Finding the Fourth Proportional to 2,677.04, 4,014.04 and 1,214.38

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Solution

The fourth proportional to 2,677.04, 4,014.04 and 1,214.38 is: 1,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.04 : 4,014.04 = 1,214.38 : x
  2. Step 2: Convert to fraction form
    2,677.04/4,014.04 = 1,214.38/x
  3. Step 3: Cross multiply
    2,677.04x = 4,014.04 × 1,214.38
  4. Step 4: Simplify right side
    2,677.04x = 4,874,569.90
  5. Step 5: Solve for x
    x = 4,874,569.90/2,677.04
  6. Step 6: Final answer
    x = 1,820.88

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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.