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Finding the Fourth Proportional to 2,363.64, 3,546 and 1,131.36

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Solution

The fourth proportional to 2,363.64, 3,546 and 1,131.36 is: 1,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.64 : 3,546 = 1,131.36 : x
  2. Step 2: Convert to fraction form
    2,363.64/3,546 = 1,131.36/x
  3. Step 3: Cross multiply
    2,363.64x = 3,546 × 1,131.36
  4. Step 4: Simplify right side
    2,363.64x = 4,011,802.56
  5. Step 5: Solve for x
    x = 4,011,802.56/2,363.64
  6. Step 6: Final answer
    x = 1,697.30

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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.