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Finding the Fourth Proportional to 1,962.75, 2,943.67 and 923.47

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Solution

The fourth proportional to 1,962.75, 2,943.67 and 923.47 is: 1,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.75 : 2,943.67 = 923.47 : x
  2. Step 2: Convert to fraction form
    1,962.75/2,943.67 = 923.47/x
  3. Step 3: Cross multiply
    1,962.75x = 2,943.67 × 923.47
  4. Step 4: Simplify right side
    1,962.75x = 2,718,390.93
  5. Step 5: Solve for x
    x = 2,718,390.93/1,962.75
  6. Step 6: Final answer
    x = 1,384.99

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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.