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Finding the Fourth Proportional to 2,341.98, 3,522.69 and 2,118.42

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Solution

The fourth proportional to 2,341.98, 3,522.69 and 2,118.42 is: 3,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.98 : 3,522.69 = 2,118.42 : x
  2. Step 2: Convert to fraction form
    2,341.98/3,522.69 = 2,118.42/x
  3. Step 3: Cross multiply
    2,341.98x = 3,522.69 × 2,118.42
  4. Step 4: Simplify right side
    2,341.98x = 7,462,536.95
  5. Step 5: Solve for x
    x = 7,462,536.95/2,341.98
  6. Step 6: Final answer
    x = 3,186.42

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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.