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Finding the Fourth Proportional to 2,093.64, 2,891.16 and 1,568.76

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Solution

The fourth proportional to 2,093.64, 2,891.16 and 1,568.76 is: 2,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.64 : 2,891.16 = 1,568.76 : x
  2. Step 2: Convert to fraction form
    2,093.64/2,891.16 = 1,568.76/x
  3. Step 3: Cross multiply
    2,093.64x = 2,891.16 × 1,568.76
  4. Step 4: Simplify right side
    2,093.64x = 4,535,536.16
  5. Step 5: Solve for x
    x = 4,535,536.16/2,093.64
  6. Step 6: Final answer
    x = 2,166.34

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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.