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Finding the Fourth Proportional to 2,648.65, 3,974.60 and 1,089.40

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Solution

The fourth proportional to 2,648.65, 3,974.60 and 1,089.40 is: 1,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.65 : 3,974.60 = 1,089.40 : x
  2. Step 2: Convert to fraction form
    2,648.65/3,974.60 = 1,089.40/x
  3. Step 3: Cross multiply
    2,648.65x = 3,974.60 × 1,089.40
  4. Step 4: Simplify right side
    2,648.65x = 4,329,929.24
  5. Step 5: Solve for x
    x = 4,329,929.24/2,648.65
  6. Step 6: Final answer
    x = 1,634.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.