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Finding the Fourth Proportional to 2,993.49, 4,492.95 and 1,533.66

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Solution

The fourth proportional to 2,993.49, 4,492.95 and 1,533.66 is: 2,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.49 : 4,492.95 = 1,533.66 : x
  2. Step 2: Convert to fraction form
    2,993.49/4,492.95 = 1,533.66/x
  3. Step 3: Cross multiply
    2,993.49x = 4,492.95 × 1,533.66
  4. Step 4: Simplify right side
    2,993.49x = 6,890,657.70
  5. Step 5: Solve for x
    x = 6,890,657.70/2,993.49
  6. Step 6: Final answer
    x = 2,301.88

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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.