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Finding the Fourth Proportional to 3,262.53, 4,894.02 and 1,314.75

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Solution

The fourth proportional to 3,262.53, 4,894.02 and 1,314.75 is: 1,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.53 : 4,894.02 = 1,314.75 : x
  2. Step 2: Convert to fraction form
    3,262.53/4,894.02 = 1,314.75/x
  3. Step 3: Cross multiply
    3,262.53x = 4,894.02 × 1,314.75
  4. Step 4: Simplify right side
    3,262.53x = 6,434,412.80
  5. Step 5: Solve for x
    x = 6,434,412.80/3,262.53
  6. Step 6: Final answer
    x = 1,972.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.