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Finding the Fourth Proportional to 2,138.60, 3,208.96 and 1,042.94

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Solution

The fourth proportional to 2,138.60, 3,208.96 and 1,042.94 is: 1,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.60 : 3,208.96 = 1,042.94 : x
  2. Step 2: Convert to fraction form
    2,138.60/3,208.96 = 1,042.94/x
  3. Step 3: Cross multiply
    2,138.60x = 3,208.96 × 1,042.94
  4. Step 4: Simplify right side
    2,138.60x = 3,346,752.74
  5. Step 5: Solve for x
    x = 3,346,752.74/2,138.60
  6. Step 6: Final answer
    x = 1,564.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.