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Finding the Fourth Proportional to 2,103.20, 2,904.70 and 1,636.70

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Solution

The fourth proportional to 2,103.20, 2,904.70 and 1,636.70 is: 2,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.20 : 2,904.70 = 1,636.70 : x
  2. Step 2: Convert to fraction form
    2,103.20/2,904.70 = 1,636.70/x
  3. Step 3: Cross multiply
    2,103.20x = 2,904.70 × 1,636.70
  4. Step 4: Simplify right side
    2,103.20x = 4,754,122.49
  5. Step 5: Solve for x
    x = 4,754,122.49/2,103.20
  6. Step 6: Final answer
    x = 2,260.42

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