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Finding the Fourth Proportional to 2,039.32, 3,059.03 and 578.42

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Solution

The fourth proportional to 2,039.32, 3,059.03 and 578.42 is: 867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.32 : 3,059.03 = 578.42 : x
  2. Step 2: Convert to fraction form
    2,039.32/3,059.03 = 578.42/x
  3. Step 3: Cross multiply
    2,039.32x = 3,059.03 × 578.42
  4. Step 4: Simplify right side
    2,039.32x = 1,769,404.13
  5. Step 5: Solve for x
    x = 1,769,404.13/2,039.32
  6. Step 6: Final answer
    x = 867.64

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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.