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Finding the Fourth Proportional to 2,146.75, 2,962.77 and 1,262.63

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Solution

The fourth proportional to 2,146.75, 2,962.77 and 1,262.63 is: 1,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.75 : 2,962.77 = 1,262.63 : x
  2. Step 2: Convert to fraction form
    2,146.75/2,962.77 = 1,262.63/x
  3. Step 3: Cross multiply
    2,146.75x = 2,962.77 × 1,262.63
  4. Step 4: Simplify right side
    2,146.75x = 3,740,882.29
  5. Step 5: Solve for x
    x = 3,740,882.29/2,146.75
  6. Step 6: Final answer
    x = 1,742.58

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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.