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Finding the Fourth Proportional to 1,999.34, 3,000.57 and 1,387.35

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Solution

The fourth proportional to 1,999.34, 3,000.57 and 1,387.35 is: 2,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.34 : 3,000.57 = 1,387.35 : x
  2. Step 2: Convert to fraction form
    1,999.34/3,000.57 = 1,387.35/x
  3. Step 3: Cross multiply
    1,999.34x = 3,000.57 × 1,387.35
  4. Step 4: Simplify right side
    1,999.34x = 4,162,840.79
  5. Step 5: Solve for x
    x = 4,162,840.79/1,999.34
  6. Step 6: Final answer
    x = 2,082.11

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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.