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Finding the Fourth Proportional to 3,307.50, 4,961.43 and 999.18

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Solution

The fourth proportional to 3,307.50, 4,961.43 and 999.18 is: 1,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.50 : 4,961.43 = 999.18 : x
  2. Step 2: Convert to fraction form
    3,307.50/4,961.43 = 999.18/x
  3. Step 3: Cross multiply
    3,307.50x = 4,961.43 × 999.18
  4. Step 4: Simplify right side
    3,307.50x = 4,957,361.63
  5. Step 5: Solve for x
    x = 4,957,361.63/3,307.50
  6. Step 6: Final answer
    x = 1,498.82

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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.