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Finding the Fourth Proportional to 2,016.48, 3,026.34 and 784.47

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Solution

The fourth proportional to 2,016.48, 3,026.34 and 784.47 is: 1,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.48 : 3,026.34 = 784.47 : x
  2. Step 2: Convert to fraction form
    2,016.48/3,026.34 = 784.47/x
  3. Step 3: Cross multiply
    2,016.48x = 3,026.34 × 784.47
  4. Step 4: Simplify right side
    2,016.48x = 2,374,072.94
  5. Step 5: Solve for x
    x = 2,374,072.94/2,016.48
  6. Step 6: Final answer
    x = 1,177.34

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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.