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Finding the Fourth Proportional to 2,994.57, 4,487.74 and 1,530.66

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Solution

The fourth proportional to 2,994.57, 4,487.74 and 1,530.66 is: 2,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.57 : 4,487.74 = 1,530.66 : x
  2. Step 2: Convert to fraction form
    2,994.57/4,487.74 = 1,530.66/x
  3. Step 3: Cross multiply
    2,994.57x = 4,487.74 × 1,530.66
  4. Step 4: Simplify right side
    2,994.57x = 6,869,196.46
  5. Step 5: Solve for x
    x = 6,869,196.46/2,994.57
  6. Step 6: Final answer
    x = 2,293.88

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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.