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Finding the Fourth Proportional to 2,000.18, 2,998.64 and 903.84

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Solution

The fourth proportional to 2,000.18, 2,998.64 and 903.84 is: 1,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.18 : 2,998.64 = 903.84 : x
  2. Step 2: Convert to fraction form
    2,000.18/2,998.64 = 903.84/x
  3. Step 3: Cross multiply
    2,000.18x = 2,998.64 × 903.84
  4. Step 4: Simplify right side
    2,000.18x = 2,710,286.26
  5. Step 5: Solve for x
    x = 2,710,286.26/2,000.18
  6. Step 6: Final answer
    x = 1,355.02

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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.