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Finding the Fourth Proportional to 2,789.08, 3,848.78 and 1,547

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Solution

The fourth proportional to 2,789.08, 3,848.78 and 1,547 is: 2,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.08 : 3,848.78 = 1,547 : x
  2. Step 2: Convert to fraction form
    2,789.08/3,848.78 = 1,547/x
  3. Step 3: Cross multiply
    2,789.08x = 3,848.78 × 1,547
  4. Step 4: Simplify right side
    2,789.08x = 5,954,062.66
  5. Step 5: Solve for x
    x = 5,954,062.66/2,789.08
  6. Step 6: Final answer
    x = 2,134.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.