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Finding the Fourth Proportional to 2,097.96, 2,895.30 and 1,258.92

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Solution

The fourth proportional to 2,097.96, 2,895.30 and 1,258.92 is: 1,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.96 : 2,895.30 = 1,258.92 : x
  2. Step 2: Convert to fraction form
    2,097.96/2,895.30 = 1,258.92/x
  3. Step 3: Cross multiply
    2,097.96x = 2,895.30 × 1,258.92
  4. Step 4: Simplify right side
    2,097.96x = 3,644,951.08
  5. Step 5: Solve for x
    x = 3,644,951.08/2,097.96
  6. Step 6: Final answer
    x = 1,737.38

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Why These Related Problems?

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