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Finding the Fourth Proportional to 2,367.53, 3,267.05 and 1,305.24

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Solution

The fourth proportional to 2,367.53, 3,267.05 and 1,305.24 is: 1,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.53 : 3,267.05 = 1,305.24 : x
  2. Step 2: Convert to fraction form
    2,367.53/3,267.05 = 1,305.24/x
  3. Step 3: Cross multiply
    2,367.53x = 3,267.05 × 1,305.24
  4. Step 4: Simplify right side
    2,367.53x = 4,264,294.96
  5. Step 5: Solve for x
    x = 4,264,294.96/2,367.53
  6. Step 6: Final answer
    x = 1,801.16

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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.