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Finding the Fourth Proportional to 2,579.95, 3,869.91 and 632.14

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Solution

The fourth proportional to 2,579.95, 3,869.91 and 632.14 is: 948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.95 : 3,869.91 = 632.14 : x
  2. Step 2: Convert to fraction form
    2,579.95/3,869.91 = 632.14/x
  3. Step 3: Cross multiply
    2,579.95x = 3,869.91 × 632.14
  4. Step 4: Simplify right side
    2,579.95x = 2,446,315.23
  5. Step 5: Solve for x
    x = 2,446,315.23/2,579.95
  6. Step 6: Final answer
    x = 948.20

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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.