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Finding the Fourth Proportional to 3,410.66, 4,706.15 and 2,293.47

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Solution

The fourth proportional to 3,410.66, 4,706.15 and 2,293.47 is: 3,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.66 : 4,706.15 = 2,293.47 : x
  2. Step 2: Convert to fraction form
    3,410.66/4,706.15 = 2,293.47/x
  3. Step 3: Cross multiply
    3,410.66x = 4,706.15 × 2,293.47
  4. Step 4: Simplify right side
    3,410.66x = 10,793,402.37
  5. Step 5: Solve for x
    x = 10,793,402.37/3,410.66
  6. Step 6: Final answer
    x = 3,164.61

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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.