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Finding the Fourth Proportional to 1,685.66, 2,325.83 and 1,022.49

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Solution

The fourth proportional to 1,685.66, 2,325.83 and 1,022.49 is: 1,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.66 : 2,325.83 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    1,685.66/2,325.83 = 1,022.49/x
  3. Step 3: Cross multiply
    1,685.66x = 2,325.83 × 1,022.49
  4. Step 4: Simplify right side
    1,685.66x = 2,378,132.80
  5. Step 5: Solve for x
    x = 2,378,132.80/1,685.66
  6. Step 6: Final answer
    x = 1,410.81

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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.