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Finding the Fourth Proportional to 1,596.64, 2,398.08 and 1,234

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Solution

The fourth proportional to 1,596.64, 2,398.08 and 1,234 is: 1,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.64 : 2,398.08 = 1,234 : x
  2. Step 2: Convert to fraction form
    1,596.64/2,398.08 = 1,234/x
  3. Step 3: Cross multiply
    1,596.64x = 2,398.08 × 1,234
  4. Step 4: Simplify right side
    1,596.64x = 2,959,230.72
  5. Step 5: Solve for x
    x = 2,959,230.72/1,596.64
  6. Step 6: Final answer
    x = 1,853.41

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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.