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Finding the Fourth Proportional to 2,114.54, 3,155.75 and 2,065.40

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Solution

The fourth proportional to 2,114.54, 3,155.75 and 2,065.40 is: 3,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.54 : 3,155.75 = 2,065.40 : x
  2. Step 2: Convert to fraction form
    2,114.54/3,155.75 = 2,065.40/x
  3. Step 3: Cross multiply
    2,114.54x = 3,155.75 × 2,065.40
  4. Step 4: Simplify right side
    2,114.54x = 6,517,886.05
  5. Step 5: Solve for x
    x = 6,517,886.05/2,114.54
  6. Step 6: Final answer
    x = 3,082.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.