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Finding the Fourth Proportional to 2,015.50, 2,780.96 and 1,457.22

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Solution

The fourth proportional to 2,015.50, 2,780.96 and 1,457.22 is: 2,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.50 : 2,780.96 = 1,457.22 : x
  2. Step 2: Convert to fraction form
    2,015.50/2,780.96 = 1,457.22/x
  3. Step 3: Cross multiply
    2,015.50x = 2,780.96 × 1,457.22
  4. Step 4: Simplify right side
    2,015.50x = 4,052,470.53
  5. Step 5: Solve for x
    x = 4,052,470.53/2,015.50
  6. Step 6: Final answer
    x = 2,010.65

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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.