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Finding the Fourth Proportional to 3,038.70, 4,193.09 and 1,712.15

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Solution

The fourth proportional to 3,038.70, 4,193.09 and 1,712.15 is: 2,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.70 : 4,193.09 = 1,712.15 : x
  2. Step 2: Convert to fraction form
    3,038.70/4,193.09 = 1,712.15/x
  3. Step 3: Cross multiply
    3,038.70x = 4,193.09 × 1,712.15
  4. Step 4: Simplify right side
    3,038.70x = 7,179,169.52
  5. Step 5: Solve for x
    x = 7,179,169.52/3,038.70
  6. Step 6: Final answer
    x = 2,362.58

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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.