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Finding the Fourth Proportional to 2,775.53, 4,162.38 and 926.10

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Solution

The fourth proportional to 2,775.53, 4,162.38 and 926.10 is: 1,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.53 : 4,162.38 = 926.10 : x
  2. Step 2: Convert to fraction form
    2,775.53/4,162.38 = 926.10/x
  3. Step 3: Cross multiply
    2,775.53x = 4,162.38 × 926.10
  4. Step 4: Simplify right side
    2,775.53x = 3,854,780.12
  5. Step 5: Solve for x
    x = 3,854,780.12/2,775.53
  6. Step 6: Final answer
    x = 1,388.84

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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.