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Finding the Fourth Proportional to 2,473.54, 3,708.15 and 2,110.66

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Solution

The fourth proportional to 2,473.54, 3,708.15 and 2,110.66 is: 3,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.54 : 3,708.15 = 2,110.66 : x
  2. Step 2: Convert to fraction form
    2,473.54/3,708.15 = 2,110.66/x
  3. Step 3: Cross multiply
    2,473.54x = 3,708.15 × 2,110.66
  4. Step 4: Simplify right side
    2,473.54x = 7,826,643.88
  5. Step 5: Solve for x
    x = 7,826,643.88/2,473.54
  6. Step 6: Final answer
    x = 3,164.15

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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.