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Finding the Fourth Proportional to 2,352.42, 3,526.14 and 1,118.90

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Solution

The fourth proportional to 2,352.42, 3,526.14 and 1,118.90 is: 1,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.42 : 3,526.14 = 1,118.90 : x
  2. Step 2: Convert to fraction form
    2,352.42/3,526.14 = 1,118.90/x
  3. Step 3: Cross multiply
    2,352.42x = 3,526.14 × 1,118.90
  4. Step 4: Simplify right side
    2,352.42x = 3,945,398.05
  5. Step 5: Solve for x
    x = 3,945,398.05/2,352.42
  6. Step 6: Final answer
    x = 1,677.17

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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.