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Finding the Fourth Proportional to 2,594.90, 3,890 and 950.30

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Solution

The fourth proportional to 2,594.90, 3,890 and 950.30 is: 1,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.90 : 3,890 = 950.30 : x
  2. Step 2: Convert to fraction form
    2,594.90/3,890 = 950.30/x
  3. Step 3: Cross multiply
    2,594.90x = 3,890 × 950.30
  4. Step 4: Simplify right side
    2,594.90x = 3,696,667
  5. Step 5: Solve for x
    x = 3,696,667/2,594.90
  6. Step 6: Final answer
    x = 1,424.59

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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.