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Finding the Fourth Proportional to 2,789.56, 3,848.02 and 2,507.68

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Solution

The fourth proportional to 2,789.56, 3,848.02 and 2,507.68 is: 3,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.56 : 3,848.02 = 2,507.68 : x
  2. Step 2: Convert to fraction form
    2,789.56/3,848.02 = 2,507.68/x
  3. Step 3: Cross multiply
    2,789.56x = 3,848.02 × 2,507.68
  4. Step 4: Simplify right side
    2,789.56x = 9,649,602.79
  5. Step 5: Solve for x
    x = 9,649,602.79/2,789.56
  6. Step 6: Final answer
    x = 3,459.18

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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.