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Finding the Fourth Proportional to 2,572.88, 3,859.32 and 1,806.80

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Solution

The fourth proportional to 2,572.88, 3,859.32 and 1,806.80 is: 2,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.88 : 3,859.32 = 1,806.80 : x
  2. Step 2: Convert to fraction form
    2,572.88/3,859.32 = 1,806.80/x
  3. Step 3: Cross multiply
    2,572.88x = 3,859.32 × 1,806.80
  4. Step 4: Simplify right side
    2,572.88x = 6,973,019.38
  5. Step 5: Solve for x
    x = 6,973,019.38/2,572.88
  6. Step 6: Final answer
    x = 2,710.20

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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.