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Finding the Fourth Proportional to 2,150.03, 2,966.81 and 1,253.76

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Solution

The fourth proportional to 2,150.03, 2,966.81 and 1,253.76 is: 1,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.03 : 2,966.81 = 1,253.76 : x
  2. Step 2: Convert to fraction form
    2,150.03/2,966.81 = 1,253.76/x
  3. Step 3: Cross multiply
    2,150.03x = 2,966.81 × 1,253.76
  4. Step 4: Simplify right side
    2,150.03x = 3,719,661.44
  5. Step 5: Solve for x
    x = 3,719,661.44/2,150.03
  6. Step 6: Final answer
    x = 1,730.05

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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.