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Finding the Fourth Proportional to 1,996.53, 2,990.34 and 1,530.89

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Solution

The fourth proportional to 1,996.53, 2,990.34 and 1,530.89 is: 2,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.53 : 2,990.34 = 1,530.89 : x
  2. Step 2: Convert to fraction form
    1,996.53/2,990.34 = 1,530.89/x
  3. Step 3: Cross multiply
    1,996.53x = 2,990.34 × 1,530.89
  4. Step 4: Simplify right side
    1,996.53x = 4,577,866.65
  5. Step 5: Solve for x
    x = 4,577,866.65/1,996.53
  6. Step 6: Final answer
    x = 2,292.91

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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.