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Finding the Fourth Proportional to 2,103.22, 2,902.41 and 1,158.99

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Solution

The fourth proportional to 2,103.22, 2,902.41 and 1,158.99 is: 1,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.22 : 2,902.41 = 1,158.99 : x
  2. Step 2: Convert to fraction form
    2,103.22/2,902.41 = 1,158.99/x
  3. Step 3: Cross multiply
    2,103.22x = 2,902.41 × 1,158.99
  4. Step 4: Simplify right side
    2,103.22x = 3,363,864.17
  5. Step 5: Solve for x
    x = 3,363,864.17/2,103.22
  6. Step 6: Final answer
    x = 1,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.