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Finding the Fourth Proportional to 3,082.32, 4,254.03 and 1,756.17

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Solution

The fourth proportional to 3,082.32, 4,254.03 and 1,756.17 is: 2,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.32 : 4,254.03 = 1,756.17 : x
  2. Step 2: Convert to fraction form
    3,082.32/4,254.03 = 1,756.17/x
  3. Step 3: Cross multiply
    3,082.32x = 4,254.03 × 1,756.17
  4. Step 4: Simplify right side
    3,082.32x = 7,470,799.87
  5. Step 5: Solve for x
    x = 7,470,799.87/3,082.32
  6. Step 6: Final answer
    x = 2,423.76

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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.