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Finding the Fourth Proportional to 2,103.93, 2,902.86 and 1,219.20

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Solution

The fourth proportional to 2,103.93, 2,902.86 and 1,219.20 is: 1,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.93 : 2,902.86 = 1,219.20 : x
  2. Step 2: Convert to fraction form
    2,103.93/2,902.86 = 1,219.20/x
  3. Step 3: Cross multiply
    2,103.93x = 2,902.86 × 1,219.20
  4. Step 4: Simplify right side
    2,103.93x = 3,539,166.91
  5. Step 5: Solve for x
    x = 3,539,166.91/2,103.93
  6. Step 6: Final answer
    x = 1,682.17

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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.