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Finding the Fourth Proportional to 3,097.76, 4,275.44 and 2,153.28

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Solution

The fourth proportional to 3,097.76, 4,275.44 and 2,153.28 is: 2,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.76 : 4,275.44 = 2,153.28 : x
  2. Step 2: Convert to fraction form
    3,097.76/4,275.44 = 2,153.28/x
  3. Step 3: Cross multiply
    3,097.76x = 4,275.44 × 2,153.28
  4. Step 4: Simplify right side
    3,097.76x = 9,206,219.44
  5. Step 5: Solve for x
    x = 9,206,219.44/3,097.76
  6. Step 6: Final answer
    x = 2,971.90

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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.