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Finding the Fourth Proportional to 2,151.32, 2,969.12 and 1,555.74

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Solution

The fourth proportional to 2,151.32, 2,969.12 and 1,555.74 is: 2,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.32 : 2,969.12 = 1,555.74 : x
  2. Step 2: Convert to fraction form
    2,151.32/2,969.12 = 1,555.74/x
  3. Step 3: Cross multiply
    2,151.32x = 2,969.12 × 1,555.74
  4. Step 4: Simplify right side
    2,151.32x = 4,619,170.97
  5. Step 5: Solve for x
    x = 4,619,170.97/2,151.32
  6. Step 6: Final answer
    x = 2,147.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.