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Finding the Fourth Proportional to 2,074.11, 3,110.71 and 687.12

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Solution

The fourth proportional to 2,074.11, 3,110.71 and 687.12 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.11 : 3,110.71 = 687.12 : x
  2. Step 2: Convert to fraction form
    2,074.11/3,110.71 = 687.12/x
  3. Step 3: Cross multiply
    2,074.11x = 3,110.71 × 687.12
  4. Step 4: Simplify right side
    2,074.11x = 2,137,431.06
  5. Step 5: Solve for x
    x = 2,137,431.06/2,074.11
  6. Step 6: Final answer
    x = 1,030.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.