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Finding the Fourth Proportional to 2,353.95, 3,532.12 and 1,121.13

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Solution

The fourth proportional to 2,353.95, 3,532.12 and 1,121.13 is: 1,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.95 : 3,532.12 = 1,121.13 : x
  2. Step 2: Convert to fraction form
    2,353.95/3,532.12 = 1,121.13/x
  3. Step 3: Cross multiply
    2,353.95x = 3,532.12 × 1,121.13
  4. Step 4: Simplify right side
    2,353.95x = 3,959,962.89
  5. Step 5: Solve for x
    x = 3,959,962.89/2,353.95
  6. Step 6: Final answer
    x = 1,682.26

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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.