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Finding the Fourth Proportional to 2,579.90, 3,869.78 and 632.10

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Solution

The fourth proportional to 2,579.90, 3,869.78 and 632.10 is: 948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.90 : 3,869.78 = 632.10 : x
  2. Step 2: Convert to fraction form
    2,579.90/3,869.78 = 632.10/x
  3. Step 3: Cross multiply
    2,579.90x = 3,869.78 × 632.10
  4. Step 4: Simplify right side
    2,579.90x = 2,446,087.94
  5. Step 5: Solve for x
    x = 2,446,087.94/2,579.90
  6. Step 6: Final answer
    x = 948.13

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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.