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Finding the Fourth Proportional to 1,594.78, 2,392.14 and 621.54

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Solution

The fourth proportional to 1,594.78, 2,392.14 and 621.54 is: 932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.78 : 2,392.14 = 621.54 : x
  2. Step 2: Convert to fraction form
    1,594.78/2,392.14 = 621.54/x
  3. Step 3: Cross multiply
    1,594.78x = 2,392.14 × 621.54
  4. Step 4: Simplify right side
    1,594.78x = 1,486,810.70
  5. Step 5: Solve for x
    x = 1,486,810.70/1,594.78
  6. Step 6: Final answer
    x = 932.30

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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.