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Finding the Fourth Proportional to 2,378.67, 3,566.73 and 838.59

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Solution

The fourth proportional to 2,378.67, 3,566.73 and 838.59 is: 1,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.67 : 3,566.73 = 838.59 : x
  2. Step 2: Convert to fraction form
    2,378.67/3,566.73 = 838.59/x
  3. Step 3: Cross multiply
    2,378.67x = 3,566.73 × 838.59
  4. Step 4: Simplify right side
    2,378.67x = 2,991,024.11
  5. Step 5: Solve for x
    x = 2,991,024.11/2,378.67
  6. Step 6: Final answer
    x = 1,257.44

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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.