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Finding the Fourth Proportional to 3,314.59, 4,972.73 and 1,234.71

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Solution

The fourth proportional to 3,314.59, 4,972.73 and 1,234.71 is: 1,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.59 : 4,972.73 = 1,234.71 : x
  2. Step 2: Convert to fraction form
    3,314.59/4,972.73 = 1,234.71/x
  3. Step 3: Cross multiply
    3,314.59x = 4,972.73 × 1,234.71
  4. Step 4: Simplify right side
    3,314.59x = 6,139,873.28
  5. Step 5: Solve for x
    x = 6,139,873.28/3,314.59
  6. Step 6: Final answer
    x = 1,852.38

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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.