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Finding the Fourth Proportional to 2,010.96, 3,016.53 and 1,460.52

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Solution

The fourth proportional to 2,010.96, 3,016.53 and 1,460.52 is: 2,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.96 : 3,016.53 = 1,460.52 : x
  2. Step 2: Convert to fraction form
    2,010.96/3,016.53 = 1,460.52/x
  3. Step 3: Cross multiply
    2,010.96x = 3,016.53 × 1,460.52
  4. Step 4: Simplify right side
    2,010.96x = 4,405,702.40
  5. Step 5: Solve for x
    x = 4,405,702.40/2,010.96
  6. Step 6: Final answer
    x = 2,190.85

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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.