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Finding the Fourth Proportional to 2,064.87, 3,097.80 and 678.22

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Solution

The fourth proportional to 2,064.87, 3,097.80 and 678.22 is: 1,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.87 : 3,097.80 = 678.22 : x
  2. Step 2: Convert to fraction form
    2,064.87/3,097.80 = 678.22/x
  3. Step 3: Cross multiply
    2,064.87x = 3,097.80 × 678.22
  4. Step 4: Simplify right side
    2,064.87x = 2,100,989.92
  5. Step 5: Solve for x
    x = 2,100,989.92/2,064.87
  6. Step 6: Final answer
    x = 1,017.49

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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.