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Finding the Fourth Proportional to 2,010.72, 3,016.41 and 778.02

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Solution

The fourth proportional to 2,010.72, 3,016.41 and 778.02 is: 1,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.72 : 3,016.41 = 778.02 : x
  2. Step 2: Convert to fraction form
    2,010.72/3,016.41 = 778.02/x
  3. Step 3: Cross multiply
    2,010.72x = 3,016.41 × 778.02
  4. Step 4: Simplify right side
    2,010.72x = 2,346,827.31
  5. Step 5: Solve for x
    x = 2,346,827.31/2,010.72
  6. Step 6: Final answer
    x = 1,167.16

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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.