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Finding the Fourth Proportional to 2,043.16, 3,064.75 and 656.51

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Solution

The fourth proportional to 2,043.16, 3,064.75 and 656.51 is: 984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.16 : 3,064.75 = 656.51 : x
  2. Step 2: Convert to fraction form
    2,043.16/3,064.75 = 656.51/x
  3. Step 3: Cross multiply
    2,043.16x = 3,064.75 × 656.51
  4. Step 4: Simplify right side
    2,043.16x = 2,012,022.06
  5. Step 5: Solve for x
    x = 2,012,022.06/2,043.16
  6. Step 6: Final answer
    x = 984.76

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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.