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Finding the Fourth Proportional to 2,335.70, 3,223.82 and 1,452.18

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Solution

The fourth proportional to 2,335.70, 3,223.82 and 1,452.18 is: 2,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.70 : 3,223.82 = 1,452.18 : x
  2. Step 2: Convert to fraction form
    2,335.70/3,223.82 = 1,452.18/x
  3. Step 3: Cross multiply
    2,335.70x = 3,223.82 × 1,452.18
  4. Step 4: Simplify right side
    2,335.70x = 4,681,566.93
  5. Step 5: Solve for x
    x = 4,681,566.93/2,335.70
  6. Step 6: Final answer
    x = 2,004.35

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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.