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Finding the Fourth Proportional to 1,999.40, 2,999.06 and 538.50

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Solution

The fourth proportional to 1,999.40, 2,999.06 and 538.50 is: 807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.40 : 2,999.06 = 538.50 : x
  2. Step 2: Convert to fraction form
    1,999.40/2,999.06 = 538.50/x
  3. Step 3: Cross multiply
    1,999.40x = 2,999.06 × 538.50
  4. Step 4: Simplify right side
    1,999.40x = 1,614,993.81
  5. Step 5: Solve for x
    x = 1,614,993.81/1,999.40
  6. Step 6: Final answer
    x = 807.74

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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.