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Finding the Fourth Proportional to 2,155.74, 3,233.61 and 1,720.86

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Solution

The fourth proportional to 2,155.74, 3,233.61 and 1,720.86 is: 2,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.74 : 3,233.61 = 1,720.86 : x
  2. Step 2: Convert to fraction form
    2,155.74/3,233.61 = 1,720.86/x
  3. Step 3: Cross multiply
    2,155.74x = 3,233.61 × 1,720.86
  4. Step 4: Simplify right side
    2,155.74x = 5,564,590.10
  5. Step 5: Solve for x
    x = 5,564,590.10/2,155.74
  6. Step 6: Final answer
    x = 2,581.29

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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.