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Finding the Fourth Proportional to 1,401.75, 1,934.49 and 928.80

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Solution

The fourth proportional to 1,401.75, 1,934.49 and 928.80 is: 1,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.75 : 1,934.49 = 928.80 : x
  2. Step 2: Convert to fraction form
    1,401.75/1,934.49 = 928.80/x
  3. Step 3: Cross multiply
    1,401.75x = 1,934.49 × 928.80
  4. Step 4: Simplify right side
    1,401.75x = 1,796,754.31
  5. Step 5: Solve for x
    x = 1,796,754.31/1,401.75
  6. Step 6: Final answer
    x = 1,281.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.