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Finding the Fourth Proportional to 1,934.62, 2,900.30 and 1,568.50

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Solution

The fourth proportional to 1,934.62, 2,900.30 and 1,568.50 is: 2,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.62 : 2,900.30 = 1,568.50 : x
  2. Step 2: Convert to fraction form
    1,934.62/2,900.30 = 1,568.50/x
  3. Step 3: Cross multiply
    1,934.62x = 2,900.30 × 1,568.50
  4. Step 4: Simplify right side
    1,934.62x = 4,549,120.55
  5. Step 5: Solve for x
    x = 4,549,120.55/1,934.62
  6. Step 6: Final answer
    x = 2,351.43

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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.