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Finding the Fourth Proportional to 2,146.35, 2,962.35 and 1,262.10

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Solution

The fourth proportional to 2,146.35, 2,962.35 and 1,262.10 is: 1,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.35 : 2,962.35 = 1,262.10 : x
  2. Step 2: Convert to fraction form
    2,146.35/2,962.35 = 1,262.10/x
  3. Step 3: Cross multiply
    2,146.35x = 2,962.35 × 1,262.10
  4. Step 4: Simplify right side
    2,146.35x = 3,738,781.94
  5. Step 5: Solve for x
    x = 3,738,781.94/2,146.35
  6. Step 6: Final answer
    x = 1,741.93

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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.