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Finding the Fourth Proportional to 2,354.36, 3,532.56 and 1,121.78

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Solution

The fourth proportional to 2,354.36, 3,532.56 and 1,121.78 is: 1,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.36 : 3,532.56 = 1,121.78 : x
  2. Step 2: Convert to fraction form
    2,354.36/3,532.56 = 1,121.78/x
  3. Step 3: Cross multiply
    2,354.36x = 3,532.56 × 1,121.78
  4. Step 4: Simplify right side
    2,354.36x = 3,962,731.89
  5. Step 5: Solve for x
    x = 3,962,731.89/2,354.36
  6. Step 6: Final answer
    x = 1,683.15

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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.