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Finding the Fourth Proportional to 1,314.96, 1,972.41 and 1,234.77

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Solution

The fourth proportional to 1,314.96, 1,972.41 and 1,234.77 is: 1,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.96 : 1,972.41 = 1,234.77 : x
  2. Step 2: Convert to fraction form
    1,314.96/1,972.41 = 1,234.77/x
  3. Step 3: Cross multiply
    1,314.96x = 1,972.41 × 1,234.77
  4. Step 4: Simplify right side
    1,314.96x = 2,435,472.70
  5. Step 5: Solve for x
    x = 2,435,472.70/1,314.96
  6. Step 6: Final answer
    x = 1,852.13

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