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Finding the Fourth Proportional to 2,398.54, 3,590.94 and 1,851.78

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Solution

The fourth proportional to 2,398.54, 3,590.94 and 1,851.78 is: 2,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.54 : 3,590.94 = 1,851.78 : x
  2. Step 2: Convert to fraction form
    2,398.54/3,590.94 = 1,851.78/x
  3. Step 3: Cross multiply
    2,398.54x = 3,590.94 × 1,851.78
  4. Step 4: Simplify right side
    2,398.54x = 6,649,630.87
  5. Step 5: Solve for x
    x = 6,649,630.87/2,398.54
  6. Step 6: Final answer
    x = 2,772.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.