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Finding the Fourth Proportional to 2,082.51, 3,123.93 and 621.75

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Solution

The fourth proportional to 2,082.51, 3,123.93 and 621.75 is: 932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.51 : 3,123.93 = 621.75 : x
  2. Step 2: Convert to fraction form
    2,082.51/3,123.93 = 621.75/x
  3. Step 3: Cross multiply
    2,082.51x = 3,123.93 × 621.75
  4. Step 4: Simplify right side
    2,082.51x = 1,942,303.48
  5. Step 5: Solve for x
    x = 1,942,303.48/2,082.51
  6. Step 6: Final answer
    x = 932.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.