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Finding the Fourth Proportional to 2,155.76, 3,232.05 and 1,460.70

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Solution

The fourth proportional to 2,155.76, 3,232.05 and 1,460.70 is: 2,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.76 : 3,232.05 = 1,460.70 : x
  2. Step 2: Convert to fraction form
    2,155.76/3,232.05 = 1,460.70/x
  3. Step 3: Cross multiply
    2,155.76x = 3,232.05 × 1,460.70
  4. Step 4: Simplify right side
    2,155.76x = 4,721,055.44
  5. Step 5: Solve for x
    x = 4,721,055.44/2,155.76
  6. Step 6: Final answer
    x = 2,189.97

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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.