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Finding the Fourth Proportional to 2,580.63, 3,870.96 and 632.82

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Solution

The fourth proportional to 2,580.63, 3,870.96 and 632.82 is: 949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.63 : 3,870.96 = 632.82 : x
  2. Step 2: Convert to fraction form
    2,580.63/3,870.96 = 632.82/x
  3. Step 3: Cross multiply
    2,580.63x = 3,870.96 × 632.82
  4. Step 4: Simplify right side
    2,580.63x = 2,449,620.91
  5. Step 5: Solve for x
    x = 2,449,620.91/2,580.63
  6. Step 6: Final answer
    x = 949.23

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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.