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Finding the Fourth Proportional to 3,082.83, 4,254.16 and 1,756.50

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Solution

The fourth proportional to 3,082.83, 4,254.16 and 1,756.50 is: 2,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.83 : 4,254.16 = 1,756.50 : x
  2. Step 2: Convert to fraction form
    3,082.83/4,254.16 = 1,756.50/x
  3. Step 3: Cross multiply
    3,082.83x = 4,254.16 × 1,756.50
  4. Step 4: Simplify right side
    3,082.83x = 7,472,432.04
  5. Step 5: Solve for x
    x = 7,472,432.04/3,082.83
  6. Step 6: Final answer
    x = 2,423.89

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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.