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Finding the Fourth Proportional to 2,155.76, 3,228.51 and 1,331.54

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Solution

The fourth proportional to 2,155.76, 3,228.51 and 1,331.54 is: 1,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.76 : 3,228.51 = 1,331.54 : x
  2. Step 2: Convert to fraction form
    2,155.76/3,228.51 = 1,331.54/x
  3. Step 3: Cross multiply
    2,155.76x = 3,228.51 × 1,331.54
  4. Step 4: Simplify right side
    2,155.76x = 4,298,883.67
  5. Step 5: Solve for x
    x = 4,298,883.67/2,155.76
  6. Step 6: Final answer
    x = 1,994.13

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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.