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Finding the Fourth Proportional to 2,137.88, 3,207.36 and 598.88

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Solution

The fourth proportional to 2,137.88, 3,207.36 and 598.88 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.88 : 3,207.36 = 598.88 : x
  2. Step 2: Convert to fraction form
    2,137.88/3,207.36 = 598.88/x
  3. Step 3: Cross multiply
    2,137.88x = 3,207.36 × 598.88
  4. Step 4: Simplify right side
    2,137.88x = 1,920,807.72
  5. Step 5: Solve for x
    x = 1,920,807.72/2,137.88
  6. Step 6: Final answer
    x = 898.47

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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.