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Finding the Fourth Proportional to 2,594.01, 3,579.80 and 1,599.94

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Solution

The fourth proportional to 2,594.01, 3,579.80 and 1,599.94 is: 2,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.01 : 3,579.80 = 1,599.94 : x
  2. Step 2: Convert to fraction form
    2,594.01/3,579.80 = 1,599.94/x
  3. Step 3: Cross multiply
    2,594.01x = 3,579.80 × 1,599.94
  4. Step 4: Simplify right side
    2,594.01x = 5,727,465.21
  5. Step 5: Solve for x
    x = 5,727,465.21/2,594.01
  6. Step 6: Final answer
    x = 2,207.96

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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.