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Finding the Fourth Proportional to 2,098.40, 2,895.36 and 1,258.88

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Solution

The fourth proportional to 2,098.40, 2,895.36 and 1,258.88 is: 1,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.40 : 2,895.36 = 1,258.88 : x
  2. Step 2: Convert to fraction form
    2,098.40/2,895.36 = 1,258.88/x
  3. Step 3: Cross multiply
    2,098.40x = 2,895.36 × 1,258.88
  4. Step 4: Simplify right side
    2,098.40x = 3,644,910.80
  5. Step 5: Solve for x
    x = 3,644,910.80/2,098.40
  6. Step 6: Final answer
    x = 1,737.00

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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.