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Finding the Fourth Proportional to 3,103.02, 4,655.54 and 1,155.38

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Solution

The fourth proportional to 3,103.02, 4,655.54 and 1,155.38 is: 1,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.02 : 4,655.54 = 1,155.38 : x
  2. Step 2: Convert to fraction form
    3,103.02/4,655.54 = 1,155.38/x
  3. Step 3: Cross multiply
    3,103.02x = 4,655.54 × 1,155.38
  4. Step 4: Simplify right side
    3,103.02x = 5,378,897.42
  5. Step 5: Solve for x
    x = 5,378,897.42/3,103.02
  6. Step 6: Final answer
    x = 1,733.44

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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.