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Finding the Fourth Proportional to 1,387.98, 1,912.95 and 1,295.64

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Solution

The fourth proportional to 1,387.98, 1,912.95 and 1,295.64 is: 1,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.98 : 1,912.95 = 1,295.64 : x
  2. Step 2: Convert to fraction form
    1,387.98/1,912.95 = 1,295.64/x
  3. Step 3: Cross multiply
    1,387.98x = 1,912.95 × 1,295.64
  4. Step 4: Simplify right side
    1,387.98x = 2,478,494.54
  5. Step 5: Solve for x
    x = 2,478,494.54/1,387.98
  6. Step 6: Final answer
    x = 1,785.68

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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.