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Finding the Fourth Proportional to 1,295.68, 1,800.46 and 1,282.36

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Solution

The fourth proportional to 1,295.68, 1,800.46 and 1,282.36 is: 1,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.68 : 1,800.46 = 1,282.36 : x
  2. Step 2: Convert to fraction form
    1,295.68/1,800.46 = 1,282.36/x
  3. Step 3: Cross multiply
    1,295.68x = 1,800.46 × 1,282.36
  4. Step 4: Simplify right side
    1,295.68x = 2,308,837.89
  5. Step 5: Solve for x
    x = 2,308,837.89/1,295.68
  6. Step 6: Final answer
    x = 1,781.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.