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Finding the Fourth Proportional to 2,042.65, 3,065.53 and 1,496.26

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Solution

The fourth proportional to 2,042.65, 3,065.53 and 1,496.26 is: 2,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.65 : 3,065.53 = 1,496.26 : x
  2. Step 2: Convert to fraction form
    2,042.65/3,065.53 = 1,496.26/x
  3. Step 3: Cross multiply
    2,042.65x = 3,065.53 × 1,496.26
  4. Step 4: Simplify right side
    2,042.65x = 4,586,829.92
  5. Step 5: Solve for x
    x = 4,586,829.92/2,042.65
  6. Step 6: Final answer
    x = 2,245.53

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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.