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Finding the Fourth Proportional to 2,657.59, 3,985 and 1,195.49

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Solution

The fourth proportional to 2,657.59, 3,985 and 1,195.49 is: 1,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.59 : 3,985 = 1,195.49 : x
  2. Step 2: Convert to fraction form
    2,657.59/3,985 = 1,195.49/x
  3. Step 3: Cross multiply
    2,657.59x = 3,985 × 1,195.49
  4. Step 4: Simplify right side
    2,657.59x = 4,764,027.65
  5. Step 5: Solve for x
    x = 4,764,027.65/2,657.59
  6. Step 6: Final answer
    x = 1,792.61

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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.