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Finding the Fourth Proportional to 2,397.78, 3,305.55 and 2,364.90

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Solution

The fourth proportional to 2,397.78, 3,305.55 and 2,364.90 is: 3,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.78 : 3,305.55 = 2,364.90 : x
  2. Step 2: Convert to fraction form
    2,397.78/3,305.55 = 2,364.90/x
  3. Step 3: Cross multiply
    2,397.78x = 3,305.55 × 2,364.90
  4. Step 4: Simplify right side
    2,397.78x = 7,817,295.20
  5. Step 5: Solve for x
    x = 7,817,295.20/2,397.78
  6. Step 6: Final answer
    x = 3,260.22

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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.