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Finding the Fourth Proportional to 1,257.30, 1,876.92 and 1,093.28

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Solution

The fourth proportional to 1,257.30, 1,876.92 and 1,093.28 is: 1,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.30 : 1,876.92 = 1,093.28 : x
  2. Step 2: Convert to fraction form
    1,257.30/1,876.92 = 1,093.28/x
  3. Step 3: Cross multiply
    1,257.30x = 1,876.92 × 1,093.28
  4. Step 4: Simplify right side
    1,257.30x = 2,051,999.10
  5. Step 5: Solve for x
    x = 2,051,999.10/1,257.30
  6. Step 6: Final answer
    x = 1,632.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.