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Finding the Fourth Proportional to 2,077.46, 2,861.07 and 2,032.10

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Solution

The fourth proportional to 2,077.46, 2,861.07 and 2,032.10 is: 2,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.46 : 2,861.07 = 2,032.10 : x
  2. Step 2: Convert to fraction form
    2,077.46/2,861.07 = 2,032.10/x
  3. Step 3: Cross multiply
    2,077.46x = 2,861.07 × 2,032.10
  4. Step 4: Simplify right side
    2,077.46x = 5,813,977.34
  5. Step 5: Solve for x
    x = 5,813,977.34/2,077.46
  6. Step 6: Final answer
    x = 2,798.60

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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.