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Finding the Fourth Proportional to 2,367.18, 3,551.28 and 807.34

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Solution

The fourth proportional to 2,367.18, 3,551.28 and 807.34 is: 1,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.18 : 3,551.28 = 807.34 : x
  2. Step 2: Convert to fraction form
    2,367.18/3,551.28 = 807.34/x
  3. Step 3: Cross multiply
    2,367.18x = 3,551.28 × 807.34
  4. Step 4: Simplify right side
    2,367.18x = 2,867,090.40
  5. Step 5: Solve for x
    x = 2,867,090.40/2,367.18
  6. Step 6: Final answer
    x = 1,211.18

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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.