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Finding the Fourth Proportional to 2,066.44, 3,098.94 and 833.53

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Solution

The fourth proportional to 2,066.44, 3,098.94 and 833.53 is: 1,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.44 : 3,098.94 = 833.53 : x
  2. Step 2: Convert to fraction form
    2,066.44/3,098.94 = 833.53/x
  3. Step 3: Cross multiply
    2,066.44x = 3,098.94 × 833.53
  4. Step 4: Simplify right side
    2,066.44x = 2,583,059.46
  5. Step 5: Solve for x
    x = 2,583,059.46/2,066.44
  6. Step 6: Final answer
    x = 1,250.00

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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.