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Finding the Fourth Proportional to 1,517.08, 2,093.52 and 853.84

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Solution

The fourth proportional to 1,517.08, 2,093.52 and 853.84 is: 1,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.08 : 2,093.52 = 853.84 : x
  2. Step 2: Convert to fraction form
    1,517.08/2,093.52 = 853.84/x
  3. Step 3: Cross multiply
    1,517.08x = 2,093.52 × 853.84
  4. Step 4: Simplify right side
    1,517.08x = 1,787,534.53
  5. Step 5: Solve for x
    x = 1,787,534.53/1,517.08
  6. Step 6: Final answer
    x = 1,178.27

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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.