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Finding the Fourth Proportional to 2,547.01, 3,821.71 and 792.28

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Solution

The fourth proportional to 2,547.01, 3,821.71 and 792.28 is: 1,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.01 : 3,821.71 = 792.28 : x
  2. Step 2: Convert to fraction form
    2,547.01/3,821.71 = 792.28/x
  3. Step 3: Cross multiply
    2,547.01x = 3,821.71 × 792.28
  4. Step 4: Simplify right side
    2,547.01x = 3,027,864.40
  5. Step 5: Solve for x
    x = 3,027,864.40/2,547.01
  6. Step 6: Final answer
    x = 1,188.79

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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.