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Finding the Fourth Proportional to 2,146.48, 2,962.14 and 1,262.28

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Solution

The fourth proportional to 2,146.48, 2,962.14 and 1,262.28 is: 1,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.48 : 2,962.14 = 1,262.28 : x
  2. Step 2: Convert to fraction form
    2,146.48/2,962.14 = 1,262.28/x
  3. Step 3: Cross multiply
    2,146.48x = 2,962.14 × 1,262.28
  4. Step 4: Simplify right side
    2,146.48x = 3,739,043.77
  5. Step 5: Solve for x
    x = 3,739,043.77/2,146.48
  6. Step 6: Final answer
    x = 1,741.95

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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.