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Finding the Fourth Proportional to 2,093.96, 2,888.88 and 1,296.92

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Solution

The fourth proportional to 2,093.96, 2,888.88 and 1,296.92 is: 1,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.96 : 2,888.88 = 1,296.92 : x
  2. Step 2: Convert to fraction form
    2,093.96/2,888.88 = 1,296.92/x
  3. Step 3: Cross multiply
    2,093.96x = 2,888.88 × 1,296.92
  4. Step 4: Simplify right side
    2,093.96x = 3,746,646.25
  5. Step 5: Solve for x
    x = 3,746,646.25/2,093.96
  6. Step 6: Final answer
    x = 1,789.26

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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.