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Finding the Fourth Proportional to 3,064.02, 4,228.17 and 1,737.78

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Solution

The fourth proportional to 3,064.02, 4,228.17 and 1,737.78 is: 2,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.02 : 4,228.17 = 1,737.78 : x
  2. Step 2: Convert to fraction form
    3,064.02/4,228.17 = 1,737.78/x
  3. Step 3: Cross multiply
    3,064.02x = 4,228.17 × 1,737.78
  4. Step 4: Simplify right side
    3,064.02x = 7,347,629.26
  5. Step 5: Solve for x
    x = 7,347,629.26/3,064.02
  6. Step 6: Final answer
    x = 2,398.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.