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Finding the Fourth Proportional to 2,128.92, 3,207.30 and 1,948.56

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Solution

The fourth proportional to 2,128.92, 3,207.30 and 1,948.56 is: 2,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.92 : 3,207.30 = 1,948.56 : x
  2. Step 2: Convert to fraction form
    2,128.92/3,207.30 = 1,948.56/x
  3. Step 3: Cross multiply
    2,128.92x = 3,207.30 × 1,948.56
  4. Step 4: Simplify right side
    2,128.92x = 6,249,616.49
  5. Step 5: Solve for x
    x = 6,249,616.49/2,128.92
  6. Step 6: Final answer
    x = 2,935.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.