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Finding the Fourth Proportional to 2,093.40, 2,888.52 and 1,208.88

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Solution

The fourth proportional to 2,093.40, 2,888.52 and 1,208.88 is: 1,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.40 : 2,888.52 = 1,208.88 : x
  2. Step 2: Convert to fraction form
    2,093.40/2,888.52 = 1,208.88/x
  3. Step 3: Cross multiply
    2,093.40x = 2,888.52 × 1,208.88
  4. Step 4: Simplify right side
    2,093.40x = 3,491,874.06
  5. Step 5: Solve for x
    x = 3,491,874.06/2,093.40
  6. Step 6: Final answer
    x = 1,668.04

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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.