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Finding the Fourth Proportional to 2,386.28, 3,577.23 and 926.52

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Solution

The fourth proportional to 2,386.28, 3,577.23 and 926.52 is: 1,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.28 : 3,577.23 = 926.52 : x
  2. Step 2: Convert to fraction form
    2,386.28/3,577.23 = 926.52/x
  3. Step 3: Cross multiply
    2,386.28x = 3,577.23 × 926.52
  4. Step 4: Simplify right side
    2,386.28x = 3,314,375.14
  5. Step 5: Solve for x
    x = 3,314,375.14/2,386.28
  6. Step 6: Final answer
    x = 1,388.93

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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.