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Finding the Fourth Proportional to 2,038.60, 3,057.90 and 1,462.60

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Solution

The fourth proportional to 2,038.60, 3,057.90 and 1,462.60 is: 2,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.60 : 3,057.90 = 1,462.60 : x
  2. Step 2: Convert to fraction form
    2,038.60/3,057.90 = 1,462.60/x
  3. Step 3: Cross multiply
    2,038.60x = 3,057.90 × 1,462.60
  4. Step 4: Simplify right side
    2,038.60x = 4,472,484.54
  5. Step 5: Solve for x
    x = 4,472,484.54/2,038.60
  6. Step 6: Final answer
    x = 2,193.90

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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.