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Finding the Fourth Proportional to 2,003.40, 3,003.93 and 962.93

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Solution

The fourth proportional to 2,003.40, 3,003.93 and 962.93 is: 1,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.40 : 3,003.93 = 962.93 : x
  2. Step 2: Convert to fraction form
    2,003.40/3,003.93 = 962.93/x
  3. Step 3: Cross multiply
    2,003.40x = 3,003.93 × 962.93
  4. Step 4: Simplify right side
    2,003.40x = 2,892,569.50
  5. Step 5: Solve for x
    x = 2,892,569.50/2,003.40
  6. Step 6: Final answer
    x = 1,443.83

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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.