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Finding the Fourth Proportional to 2,594.94, 3,891.06 and 1,035.42

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Solution

The fourth proportional to 2,594.94, 3,891.06 and 1,035.42 is: 1,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.94 : 3,891.06 = 1,035.42 : x
  2. Step 2: Convert to fraction form
    2,594.94/3,891.06 = 1,035.42/x
  3. Step 3: Cross multiply
    2,594.94x = 3,891.06 × 1,035.42
  4. Step 4: Simplify right side
    2,594.94x = 4,028,881.35
  5. Step 5: Solve for x
    x = 4,028,881.35/2,594.94
  6. Step 6: Final answer
    x = 1,552.59

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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.