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Finding the Fourth Proportional to 2,402.16, 3,314.88 and 1,354.32

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Solution

The fourth proportional to 2,402.16, 3,314.88 and 1,354.32 is: 1,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.16 : 3,314.88 = 1,354.32 : x
  2. Step 2: Convert to fraction form
    2,402.16/3,314.88 = 1,354.32/x
  3. Step 3: Cross multiply
    2,402.16x = 3,314.88 × 1,354.32
  4. Step 4: Simplify right side
    2,402.16x = 4,489,408.28
  5. Step 5: Solve for x
    x = 4,489,408.28/2,402.16
  6. Step 6: Final answer
    x = 1,868.90

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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.