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Finding the Fourth Proportional to 2,363.12, 3,544.68 and 1,063.07

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Solution

The fourth proportional to 2,363.12, 3,544.68 and 1,063.07 is: 1,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.12 : 3,544.68 = 1,063.07 : x
  2. Step 2: Convert to fraction form
    2,363.12/3,544.68 = 1,063.07/x
  3. Step 3: Cross multiply
    2,363.12x = 3,544.68 × 1,063.07
  4. Step 4: Simplify right side
    2,363.12x = 3,768,231.45
  5. Step 5: Solve for x
    x = 3,768,231.45/2,363.12
  6. Step 6: Final answer
    x = 1,594.60

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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.