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Finding the Fourth Proportional to 1,812.42, 2,499.53 and 1,223.75

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Solution

The fourth proportional to 1,812.42, 2,499.53 and 1,223.75 is: 1,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.42 : 2,499.53 = 1,223.75 : x
  2. Step 2: Convert to fraction form
    1,812.42/2,499.53 = 1,223.75/x
  3. Step 3: Cross multiply
    1,812.42x = 2,499.53 × 1,223.75
  4. Step 4: Simplify right side
    1,812.42x = 3,058,809.15
  5. Step 5: Solve for x
    x = 3,058,809.15/1,812.42
  6. Step 6: Final answer
    x = 1,687.69

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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.