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Finding the Fourth Proportional to 2,351.05, 3,532.95 and 1,256.20

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Solution

The fourth proportional to 2,351.05, 3,532.95 and 1,256.20 is: 1,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.05 : 3,532.95 = 1,256.20 : x
  2. Step 2: Convert to fraction form
    2,351.05/3,532.95 = 1,256.20/x
  3. Step 3: Cross multiply
    2,351.05x = 3,532.95 × 1,256.20
  4. Step 4: Simplify right side
    2,351.05x = 4,438,091.79
  5. Step 5: Solve for x
    x = 4,438,091.79/2,351.05
  6. Step 6: Final answer
    x = 1,887.71

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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.