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Finding the Fourth Proportional to 2,057.67, 3,088.07 and 1,594.32

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Solution

The fourth proportional to 2,057.67, 3,088.07 and 1,594.32 is: 2,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.67 : 3,088.07 = 1,594.32 : x
  2. Step 2: Convert to fraction form
    2,057.67/3,088.07 = 1,594.32/x
  3. Step 3: Cross multiply
    2,057.67x = 3,088.07 × 1,594.32
  4. Step 4: Simplify right side
    2,057.67x = 4,923,363.79
  5. Step 5: Solve for x
    x = 4,923,363.79/2,057.67
  6. Step 6: Final answer
    x = 2,392.69

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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.