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Finding the Fourth Proportional to 3,074.51, 4,608.15 and 1,427.58

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Solution

The fourth proportional to 3,074.51, 4,608.15 and 1,427.58 is: 2,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.51 : 4,608.15 = 1,427.58 : x
  2. Step 2: Convert to fraction form
    3,074.51/4,608.15 = 1,427.58/x
  3. Step 3: Cross multiply
    3,074.51x = 4,608.15 × 1,427.58
  4. Step 4: Simplify right side
    3,074.51x = 6,578,502.78
  5. Step 5: Solve for x
    x = 6,578,502.78/3,074.51
  6. Step 6: Final answer
    x = 2,139.69

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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.