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Finding the Fourth Proportional to 2,146.74, 2,962.26 and 1,262.22

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Solution

The fourth proportional to 2,146.74, 2,962.26 and 1,262.22 is: 1,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.74 : 2,962.26 = 1,262.22 : x
  2. Step 2: Convert to fraction form
    2,146.74/2,962.26 = 1,262.22/x
  3. Step 3: Cross multiply
    2,146.74x = 2,962.26 × 1,262.22
  4. Step 4: Simplify right side
    2,146.74x = 3,739,023.82
  5. Step 5: Solve for x
    x = 3,739,023.82/2,146.74
  6. Step 6: Final answer
    x = 1,741.72

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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.