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Finding the Fourth Proportional to 2,040.65, 2,812.07 and 1,449.53

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Solution

The fourth proportional to 2,040.65, 2,812.07 and 1,449.53 is: 1,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.65 : 2,812.07 = 1,449.53 : x
  2. Step 2: Convert to fraction form
    2,040.65/2,812.07 = 1,449.53/x
  3. Step 3: Cross multiply
    2,040.65x = 2,812.07 × 1,449.53
  4. Step 4: Simplify right side
    2,040.65x = 4,076,172.58
  5. Step 5: Solve for x
    x = 4,076,172.58/2,040.65
  6. Step 6: Final answer
    x = 1,997.49

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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.