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Finding the Fourth Proportional to 1,594.62, 2,392.11 and 424.67

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Solution

The fourth proportional to 1,594.62, 2,392.11 and 424.67 is: 637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.62 : 2,392.11 = 424.67 : x
  2. Step 2: Convert to fraction form
    1,594.62/2,392.11 = 424.67/x
  3. Step 3: Cross multiply
    1,594.62x = 2,392.11 × 424.67
  4. Step 4: Simplify right side
    1,594.62x = 1,015,857.35
  5. Step 5: Solve for x
    x = 1,015,857.35/1,594.62
  6. Step 6: Final answer
    x = 637.05

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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.