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Finding the Fourth Proportional to 2,308.32, 3,461.85 and 1,074.51

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Solution

The fourth proportional to 2,308.32, 3,461.85 and 1,074.51 is: 1,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.32 : 3,461.85 = 1,074.51 : x
  2. Step 2: Convert to fraction form
    2,308.32/3,461.85 = 1,074.51/x
  3. Step 3: Cross multiply
    2,308.32x = 3,461.85 × 1,074.51
  4. Step 4: Simplify right side
    2,308.32x = 3,719,792.44
  5. Step 5: Solve for x
    x = 3,719,792.44/2,308.32
  6. Step 6: Final answer
    x = 1,611.47

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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.