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Finding the Fourth Proportional to 1,594.80, 2,394.90 and 1,546.20

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Solution

The fourth proportional to 1,594.80, 2,394.90 and 1,546.20 is: 2,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.80 : 2,394.90 = 1,546.20 : x
  2. Step 2: Convert to fraction form
    1,594.80/2,394.90 = 1,546.20/x
  3. Step 3: Cross multiply
    1,594.80x = 2,394.90 × 1,546.20
  4. Step 4: Simplify right side
    1,594.80x = 3,702,994.38
  5. Step 5: Solve for x
    x = 3,702,994.38/1,594.80
  6. Step 6: Final answer
    x = 2,321.92

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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.