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Finding the Fourth Proportional to 2,367.46, 3,551.34 and 1,131.46

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Solution

The fourth proportional to 2,367.46, 3,551.34 and 1,131.46 is: 1,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.46 : 3,551.34 = 1,131.46 : x
  2. Step 2: Convert to fraction form
    2,367.46/3,551.34 = 1,131.46/x
  3. Step 3: Cross multiply
    2,367.46x = 3,551.34 × 1,131.46
  4. Step 4: Simplify right side
    2,367.46x = 4,018,199.16
  5. Step 5: Solve for x
    x = 4,018,199.16/2,367.46
  6. Step 6: Final answer
    x = 1,697.26

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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.