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Finding the Fourth Proportional to 2,044.53, 3,066.28 and 583.69

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Solution

The fourth proportional to 2,044.53, 3,066.28 and 583.69 is: 875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.53 : 3,066.28 = 583.69 : x
  2. Step 2: Convert to fraction form
    2,044.53/3,066.28 = 583.69/x
  3. Step 3: Cross multiply
    2,044.53x = 3,066.28 × 583.69
  4. Step 4: Simplify right side
    2,044.53x = 1,789,756.97
  5. Step 5: Solve for x
    x = 1,789,756.97/2,044.53
  6. Step 6: Final answer
    x = 875.39

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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.