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Finding the Fourth Proportional to 2,775.47, 4,162.29 and 926.03

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Solution

The fourth proportional to 2,775.47, 4,162.29 and 926.03 is: 1,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.47 : 4,162.29 = 926.03 : x
  2. Step 2: Convert to fraction form
    2,775.47/4,162.29 = 926.03/x
  3. Step 3: Cross multiply
    2,775.47x = 4,162.29 × 926.03
  4. Step 4: Simplify right side
    2,775.47x = 3,854,412.34
  5. Step 5: Solve for x
    x = 3,854,412.34/2,775.47
  6. Step 6: Final answer
    x = 1,388.74

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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.