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Finding the Fourth Proportional to 2,066.40, 3,082.50 and 1,823.40

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Solution

The fourth proportional to 2,066.40, 3,082.50 and 1,823.40 is: 2,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.40 : 3,082.50 = 1,823.40 : x
  2. Step 2: Convert to fraction form
    2,066.40/3,082.50 = 1,823.40/x
  3. Step 3: Cross multiply
    2,066.40x = 3,082.50 × 1,823.40
  4. Step 4: Simplify right side
    2,066.40x = 5,620,630.50
  5. Step 5: Solve for x
    x = 5,620,630.50/2,066.40
  6. Step 6: Final answer
    x = 2,720.01

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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.