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Finding the Fourth Proportional to 1,962.47, 2,708.66 and 1,262.63

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Solution

The fourth proportional to 1,962.47, 2,708.66 and 1,262.63 is: 1,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.47 : 2,708.66 = 1,262.63 : x
  2. Step 2: Convert to fraction form
    1,962.47/2,708.66 = 1,262.63/x
  3. Step 3: Cross multiply
    1,962.47x = 2,708.66 × 1,262.63
  4. Step 4: Simplify right side
    1,962.47x = 3,420,035.38
  5. Step 5: Solve for x
    x = 3,420,035.38/1,962.47
  6. Step 6: Final answer
    x = 1,742.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.