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Finding the Fourth Proportional to 2,547.78, 3,821.45 and 792.71

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Solution

The fourth proportional to 2,547.78, 3,821.45 and 792.71 is: 1,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.78 : 3,821.45 = 792.71 : x
  2. Step 2: Convert to fraction form
    2,547.78/3,821.45 = 792.71/x
  3. Step 3: Cross multiply
    2,547.78x = 3,821.45 × 792.71
  4. Step 4: Simplify right side
    2,547.78x = 3,029,278.56
  5. Step 5: Solve for x
    x = 3,029,278.56/2,547.78
  6. Step 6: Final answer
    x = 1,188.99

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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.