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Finding the Fourth Proportional to 2,057.69, 3,088.35 and 1,645.80

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Solution

The fourth proportional to 2,057.69, 3,088.35 and 1,645.80 is: 2,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.69 : 3,088.35 = 1,645.80 : x
  2. Step 2: Convert to fraction form
    2,057.69/3,088.35 = 1,645.80/x
  3. Step 3: Cross multiply
    2,057.69x = 3,088.35 × 1,645.80
  4. Step 4: Simplify right side
    2,057.69x = 5,082,806.43
  5. Step 5: Solve for x
    x = 5,082,806.43/2,057.69
  6. Step 6: Final answer
    x = 2,470.16

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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.