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Finding the Fourth Proportional to 2,103.62, 2,902.93 and 1,159.38

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Solution

The fourth proportional to 2,103.62, 2,902.93 and 1,159.38 is: 1,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.62 : 2,902.93 = 1,159.38 : x
  2. Step 2: Convert to fraction form
    2,103.62/2,902.93 = 1,159.38/x
  3. Step 3: Cross multiply
    2,103.62x = 2,902.93 × 1,159.38
  4. Step 4: Simplify right side
    2,103.62x = 3,365,598.98
  5. Step 5: Solve for x
    x = 3,365,598.98/2,103.62
  6. Step 6: Final answer
    x = 1,599.91

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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.