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Finding the Fourth Proportional to 2,927.50, 4,391.73 and 980.17

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Solution

The fourth proportional to 2,927.50, 4,391.73 and 980.17 is: 1,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.50 : 4,391.73 = 980.17 : x
  2. Step 2: Convert to fraction form
    2,927.50/4,391.73 = 980.17/x
  3. Step 3: Cross multiply
    2,927.50x = 4,391.73 × 980.17
  4. Step 4: Simplify right side
    2,927.50x = 4,304,641.99
  5. Step 5: Solve for x
    x = 4,304,641.99/2,927.50
  6. Step 6: Final answer
    x = 1,470.42

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1.5x scale

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.