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Finding the Fourth Proportional to 2,010.75, 3,013.68 and 957.15

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Solution

The fourth proportional to 2,010.75, 3,013.68 and 957.15 is: 1,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.75 : 3,013.68 = 957.15 : x
  2. Step 2: Convert to fraction form
    2,010.75/3,013.68 = 957.15/x
  3. Step 3: Cross multiply
    2,010.75x = 3,013.68 × 957.15
  4. Step 4: Simplify right side
    2,010.75x = 2,884,543.81
  5. Step 5: Solve for x
    x = 2,884,543.81/2,010.75
  6. Step 6: Final answer
    x = 1,434.56

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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.