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Finding the Fourth Proportional to 1,999.90, 3,000.02 and 1,532.05

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Solution

The fourth proportional to 1,999.90, 3,000.02 and 1,532.05 is: 2,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.90 : 3,000.02 = 1,532.05 : x
  2. Step 2: Convert to fraction form
    1,999.90/3,000.02 = 1,532.05/x
  3. Step 3: Cross multiply
    1,999.90x = 3,000.02 × 1,532.05
  4. Step 4: Simplify right side
    1,999.90x = 4,596,180.64
  5. Step 5: Solve for x
    x = 4,596,180.64/1,999.90
  6. Step 6: Final answer
    x = 2,298.21

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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.