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Finding the Fourth Proportional to 1,293.22, 1,772.61 and 1,275.00

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Solution

The fourth proportional to 1,293.22, 1,772.61 and 1,275.00 is: 1,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.22 : 1,772.61 = 1,275.00 : x
  2. Step 2: Convert to fraction form
    1,293.22/1,772.61 = 1,275.00/x
  3. Step 3: Cross multiply
    1,293.22x = 1,772.61 × 1,275.00
  4. Step 4: Simplify right side
    1,293.22x = 2,260,068.89
  5. Step 5: Solve for x
    x = 2,260,068.89/1,293.22
  6. Step 6: Final answer
    x = 1,747.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.