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Finding the Fourth Proportional to 1,716.87, 2,368.22 and 1,506.88

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Solution

The fourth proportional to 1,716.87, 2,368.22 and 1,506.88 is: 2,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.87 : 2,368.22 = 1,506.88 : x
  2. Step 2: Convert to fraction form
    1,716.87/2,368.22 = 1,506.88/x
  3. Step 3: Cross multiply
    1,716.87x = 2,368.22 × 1,506.88
  4. Step 4: Simplify right side
    1,716.87x = 3,568,609.90
  5. Step 5: Solve for x
    x = 3,568,609.90/1,716.87
  6. Step 6: Final answer
    x = 2,078.56

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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.