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Finding the Fourth Proportional to 1,834.14, 2,752.08 and 909.78

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Solution

The fourth proportional to 1,834.14, 2,752.08 and 909.78 is: 1,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.14 : 2,752.08 = 909.78 : x
  2. Step 2: Convert to fraction form
    1,834.14/2,752.08 = 909.78/x
  3. Step 3: Cross multiply
    1,834.14x = 2,752.08 × 909.78
  4. Step 4: Simplify right side
    1,834.14x = 2,503,787.34
  5. Step 5: Solve for x
    x = 2,503,787.34/1,834.14
  6. Step 6: Final answer
    x = 1,365.10

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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.