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Finding the Fourth Proportional to 3,610.64, 4,982.67 and 2,038.74

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Solution

The fourth proportional to 3,610.64, 4,982.67 and 2,038.74 is: 2,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.64 : 4,982.67 = 2,038.74 : x
  2. Step 2: Convert to fraction form
    3,610.64/4,982.67 = 2,038.74/x
  3. Step 3: Cross multiply
    3,610.64x = 4,982.67 × 2,038.74
  4. Step 4: Simplify right side
    3,610.64x = 10,158,368.64
  5. Step 5: Solve for x
    x = 10,158,368.64/3,610.64
  6. Step 6: Final answer
    x = 2,813.46

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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.