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Finding the Fourth Proportional to 3,038.72, 4,193.46 and 1,712.17

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Solution

The fourth proportional to 3,038.72, 4,193.46 and 1,712.17 is: 2,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.72 : 4,193.46 = 1,712.17 : x
  2. Step 2: Convert to fraction form
    3,038.72/4,193.46 = 1,712.17/x
  3. Step 3: Cross multiply
    3,038.72x = 4,193.46 × 1,712.17
  4. Step 4: Simplify right side
    3,038.72x = 7,179,916.41
  5. Step 5: Solve for x
    x = 7,179,916.41/3,038.72
  6. Step 6: Final answer
    x = 2,362.81

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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.