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Finding the Fourth Proportional to 2,082.96, 3,123.48 and 783.51

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Solution

The fourth proportional to 2,082.96, 3,123.48 and 783.51 is: 1,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.96 : 3,123.48 = 783.51 : x
  2. Step 2: Convert to fraction form
    2,082.96/3,123.48 = 783.51/x
  3. Step 3: Cross multiply
    2,082.96x = 3,123.48 × 783.51
  4. Step 4: Simplify right side
    2,082.96x = 2,447,277.81
  5. Step 5: Solve for x
    x = 2,447,277.81/2,082.96
  6. Step 6: Final answer
    x = 1,174.90

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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.