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Finding the Fourth Proportional to 1,860.40, 2,792.22 and 765.55

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Solution

The fourth proportional to 1,860.40, 2,792.22 and 765.55 is: 1,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.40 : 2,792.22 = 765.55 : x
  2. Step 2: Convert to fraction form
    1,860.40/2,792.22 = 765.55/x
  3. Step 3: Cross multiply
    1,860.40x = 2,792.22 × 765.55
  4. Step 4: Simplify right side
    1,860.40x = 2,137,584.02
  5. Step 5: Solve for x
    x = 2,137,584.02/1,860.40
  6. Step 6: Final answer
    x = 1,148.99

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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.