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Finding the Fourth Proportional to 2,397.53, 3,305.21 and 2,364.65

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Solution

The fourth proportional to 2,397.53, 3,305.21 and 2,364.65 is: 3,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.53 : 3,305.21 = 2,364.65 : x
  2. Step 2: Convert to fraction form
    2,397.53/3,305.21 = 2,364.65/x
  3. Step 3: Cross multiply
    2,397.53x = 3,305.21 × 2,364.65
  4. Step 4: Simplify right side
    2,397.53x = 7,815,653.00
  5. Step 5: Solve for x
    x = 7,815,653.00/2,397.53
  6. Step 6: Final answer
    x = 3,259.88

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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.