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Finding the Fourth Proportional to 2,300.00, 3,447.73 and 738.86

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Solution

The fourth proportional to 2,300.00, 3,447.73 and 738.86 is: 1,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.00 : 3,447.73 = 738.86 : x
  2. Step 2: Convert to fraction form
    2,300.00/3,447.73 = 738.86/x
  3. Step 3: Cross multiply
    2,300.00x = 3,447.73 × 738.86
  4. Step 4: Simplify right side
    2,300.00x = 2,547,373.47
  5. Step 5: Solve for x
    x = 2,547,373.47/2,300.00
  6. Step 6: Final answer
    x = 1,107.56

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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.