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Finding the Fourth Proportional to 2,825.68, 4,238.90 and 1,046.50

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Solution

The fourth proportional to 2,825.68, 4,238.90 and 1,046.50 is: 1,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.68 : 4,238.90 = 1,046.50 : x
  2. Step 2: Convert to fraction form
    2,825.68/4,238.90 = 1,046.50/x
  3. Step 3: Cross multiply
    2,825.68x = 4,238.90 × 1,046.50
  4. Step 4: Simplify right side
    2,825.68x = 4,435,993.02
  5. Step 5: Solve for x
    x = 4,435,993.02/2,825.68
  6. Step 6: Final answer
    x = 1,569.89

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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.