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Finding the Fourth Proportional to 2,137.86, 3,206.34 and 598.50

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Solution

The fourth proportional to 2,137.86, 3,206.34 and 598.50 is: 897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.86 : 3,206.34 = 598.50 : x
  2. Step 2: Convert to fraction form
    2,137.86/3,206.34 = 598.50/x
  3. Step 3: Cross multiply
    2,137.86x = 3,206.34 × 598.50
  4. Step 4: Simplify right side
    2,137.86x = 1,918,994.49
  5. Step 5: Solve for x
    x = 1,918,994.49/2,137.86
  6. Step 6: Final answer
    x = 897.62

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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.