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Finding the Fourth Proportional to 1,747.04, 2,616.90 and 823.40

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Solution

The fourth proportional to 1,747.04, 2,616.90 and 823.40 is: 1,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.04 : 2,616.90 = 823.40 : x
  2. Step 2: Convert to fraction form
    1,747.04/2,616.90 = 823.40/x
  3. Step 3: Cross multiply
    1,747.04x = 2,616.90 × 823.40
  4. Step 4: Simplify right side
    1,747.04x = 2,154,755.46
  5. Step 5: Solve for x
    x = 2,154,755.46/1,747.04
  6. Step 6: Final answer
    x = 1,233.38

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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.