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Finding the Fourth Proportional to 2,452.63, 3,680.78 and 1,155.01

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Solution

The fourth proportional to 2,452.63, 3,680.78 and 1,155.01 is: 1,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.63 : 3,680.78 = 1,155.01 : x
  2. Step 2: Convert to fraction form
    2,452.63/3,680.78 = 1,155.01/x
  3. Step 3: Cross multiply
    2,452.63x = 3,680.78 × 1,155.01
  4. Step 4: Simplify right side
    2,452.63x = 4,251,337.71
  5. Step 5: Solve for x
    x = 4,251,337.71/2,452.63
  6. Step 6: Final answer
    x = 1,733.38

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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.