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Finding the Fourth Proportional to 2,341.98, 3,492.18 and 2,249.64

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Solution

The fourth proportional to 2,341.98, 3,492.18 and 2,249.64 is: 3,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.98 : 3,492.18 = 2,249.64 : x
  2. Step 2: Convert to fraction form
    2,341.98/3,492.18 = 2,249.64/x
  3. Step 3: Cross multiply
    2,341.98x = 3,492.18 × 2,249.64
  4. Step 4: Simplify right side
    2,341.98x = 7,856,147.82
  5. Step 5: Solve for x
    x = 7,856,147.82/2,341.98
  6. Step 6: Final answer
    x = 3,354.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.