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Finding the Fourth Proportional to 2,319.57, 3,476.66 and 2,076.57

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Solution

The fourth proportional to 2,319.57, 3,476.66 and 2,076.57 is: 3,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.57 : 3,476.66 = 2,076.57 : x
  2. Step 2: Convert to fraction form
    2,319.57/3,476.66 = 2,076.57/x
  3. Step 3: Cross multiply
    2,319.57x = 3,476.66 × 2,076.57
  4. Step 4: Simplify right side
    2,319.57x = 7,219,517.47
  5. Step 5: Solve for x
    x = 7,219,517.47/2,319.57
  6. Step 6: Final answer
    x = 3,112.44

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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.