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Finding the Fourth Proportional to 3,082.57, 4,253.45 and 1,756.30

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Solution

The fourth proportional to 3,082.57, 4,253.45 and 1,756.30 is: 2,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.57 : 4,253.45 = 1,756.30 : x
  2. Step 2: Convert to fraction form
    3,082.57/4,253.45 = 1,756.30/x
  3. Step 3: Cross multiply
    3,082.57x = 4,253.45 × 1,756.30
  4. Step 4: Simplify right side
    3,082.57x = 7,470,334.24
  5. Step 5: Solve for x
    x = 7,470,334.24/3,082.57
  6. Step 6: Final answer
    x = 2,423.41

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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.