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Finding the Fourth Proportional to 1,938.65, 2,909.12 and 768.77

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Solution

The fourth proportional to 1,938.65, 2,909.12 and 768.77 is: 1,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.65 : 2,909.12 = 768.77 : x
  2. Step 2: Convert to fraction form
    1,938.65/2,909.12 = 768.77/x
  3. Step 3: Cross multiply
    1,938.65x = 2,909.12 × 768.77
  4. Step 4: Simplify right side
    1,938.65x = 2,236,425.79
  5. Step 5: Solve for x
    x = 2,236,425.79/1,938.65
  6. Step 6: Final answer
    x = 1,153.60

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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.