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Finding the Fourth Proportional to 2,108.60, 2,910.90 and 1,269.94

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Solution

The fourth proportional to 2,108.60, 2,910.90 and 1,269.94 is: 1,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.60 : 2,910.90 = 1,269.94 : x
  2. Step 2: Convert to fraction form
    2,108.60/2,910.90 = 1,269.94/x
  3. Step 3: Cross multiply
    2,108.60x = 2,910.90 × 1,269.94
  4. Step 4: Simplify right side
    2,108.60x = 3,696,668.35
  5. Step 5: Solve for x
    x = 3,696,668.35/2,108.60
  6. Step 6: Final answer
    x = 1,753.14

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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.