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Finding the Fourth Proportional to 1,561.54, 2,154.97 and 853.45

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Solution

The fourth proportional to 1,561.54, 2,154.97 and 853.45 is: 1,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.54 : 2,154.97 = 853.45 : x
  2. Step 2: Convert to fraction form
    1,561.54/2,154.97 = 853.45/x
  3. Step 3: Cross multiply
    1,561.54x = 2,154.97 × 853.45
  4. Step 4: Simplify right side
    1,561.54x = 1,839,144.10
  5. Step 5: Solve for x
    x = 1,839,144.10/1,561.54
  6. Step 6: Final answer
    x = 1,177.78

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1.5x scale

Why These Related Problems?

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