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Finding the Fourth Proportional to 2,402.01, 3,314.65 and 1,354.14

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Solution

The fourth proportional to 2,402.01, 3,314.65 and 1,354.14 is: 1,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.01 : 3,314.65 = 1,354.14 : x
  2. Step 2: Convert to fraction form
    2,402.01/3,314.65 = 1,354.14/x
  3. Step 3: Cross multiply
    2,402.01x = 3,314.65 × 1,354.14
  4. Step 4: Simplify right side
    2,402.01x = 4,488,500.15
  5. Step 5: Solve for x
    x = 4,488,500.15/2,402.01
  6. Step 6: Final answer
    x = 1,868.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.