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Finding the Fourth Proportional to 2,775.58, 4,162.40 and 926.26

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Solution

The fourth proportional to 2,775.58, 4,162.40 and 926.26 is: 1,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.58 : 4,162.40 = 926.26 : x
  2. Step 2: Convert to fraction form
    2,775.58/4,162.40 = 926.26/x
  3. Step 3: Cross multiply
    2,775.58x = 4,162.40 × 926.26
  4. Step 4: Simplify right side
    2,775.58x = 3,855,443.81
  5. Step 5: Solve for x
    x = 3,855,443.81/2,775.58
  6. Step 6: Final answer
    x = 1,389.06

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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.