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Finding the Fourth Proportional to 3,098.53, 4,649.01 and 1,365.94

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Solution

The fourth proportional to 3,098.53, 4,649.01 and 1,365.94 is: 2,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.53 : 4,649.01 = 1,365.94 : x
  2. Step 2: Convert to fraction form
    3,098.53/4,649.01 = 1,365.94/x
  3. Step 3: Cross multiply
    3,098.53x = 4,649.01 × 1,365.94
  4. Step 4: Simplify right side
    3,098.53x = 6,350,268.72
  5. Step 5: Solve for x
    x = 6,350,268.72/3,098.53
  6. Step 6: Final answer
    x = 2,049.45

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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.