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Finding the Fourth Proportional to 2,549.58, 3,824.72 and 794.71

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Solution

The fourth proportional to 2,549.58, 3,824.72 and 794.71 is: 1,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.58 : 3,824.72 = 794.71 : x
  2. Step 2: Convert to fraction form
    2,549.58/3,824.72 = 794.71/x
  3. Step 3: Cross multiply
    2,549.58x = 3,824.72 × 794.71
  4. Step 4: Simplify right side
    2,549.58x = 3,039,547.02
  5. Step 5: Solve for x
    x = 3,039,547.02/2,549.58
  6. Step 6: Final answer
    x = 1,192.18

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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.