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Finding the Fourth Proportional to 2,541.32, 3,812.58 and 809.95

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Solution

The fourth proportional to 2,541.32, 3,812.58 and 809.95 is: 1,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.32 : 3,812.58 = 809.95 : x
  2. Step 2: Convert to fraction form
    2,541.32/3,812.58 = 809.95/x
  3. Step 3: Cross multiply
    2,541.32x = 3,812.58 × 809.95
  4. Step 4: Simplify right side
    2,541.32x = 3,087,999.17
  5. Step 5: Solve for x
    x = 3,087,999.17/2,541.32
  6. Step 6: Final answer
    x = 1,215.12

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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.