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Finding the Fourth Proportional to 2,402.12, 3,314.81 and 1,354.18

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Solution

The fourth proportional to 2,402.12, 3,314.81 and 1,354.18 is: 1,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.12 : 3,314.81 = 1,354.18 : x
  2. Step 2: Convert to fraction form
    2,402.12/3,314.81 = 1,354.18/x
  3. Step 3: Cross multiply
    2,402.12x = 3,314.81 × 1,354.18
  4. Step 4: Simplify right side
    2,402.12x = 4,488,849.41
  5. Step 5: Solve for x
    x = 4,488,849.41/2,402.12
  6. Step 6: Final answer
    x = 1,868.70

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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.