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Finding the Fourth Proportional to 2,039.34, 3,059.06 and 578.46

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Solution

The fourth proportional to 2,039.34, 3,059.06 and 578.46 is: 867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.34 : 3,059.06 = 578.46 : x
  2. Step 2: Convert to fraction form
    2,039.34/3,059.06 = 578.46/x
  3. Step 3: Cross multiply
    2,039.34x = 3,059.06 × 578.46
  4. Step 4: Simplify right side
    2,039.34x = 1,769,543.85
  5. Step 5: Solve for x
    x = 1,769,543.85/2,039.34
  6. Step 6: Final answer
    x = 867.70

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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.