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Finding the Fourth Proportional to 2,056.68, 3,085.02 and 2,032.20

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Solution

The fourth proportional to 2,056.68, 3,085.02 and 2,032.20 is: 3,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.68 : 3,085.02 = 2,032.20 : x
  2. Step 2: Convert to fraction form
    2,056.68/3,085.02 = 2,032.20/x
  3. Step 3: Cross multiply
    2,056.68x = 3,085.02 × 2,032.20
  4. Step 4: Simplify right side
    2,056.68x = 6,269,377.64
  5. Step 5: Solve for x
    x = 6,269,377.64/2,056.68
  6. Step 6: Final answer
    x = 3,048.30

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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.