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Finding the Fourth Proportional to 2,038.37, 3,057.15 and 997.93

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Solution

The fourth proportional to 2,038.37, 3,057.15 and 997.93 is: 1,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.37 : 3,057.15 = 997.93 : x
  2. Step 2: Convert to fraction form
    2,038.37/3,057.15 = 997.93/x
  3. Step 3: Cross multiply
    2,038.37x = 3,057.15 × 997.93
  4. Step 4: Simplify right side
    2,038.37x = 3,050,806.41
  5. Step 5: Solve for x
    x = 3,050,806.41/2,038.37
  6. Step 6: Final answer
    x = 1,496.69

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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.