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Finding the Fourth Proportional to 2,082.51, 3,123.89 and 783.95

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Solution

The fourth proportional to 2,082.51, 3,123.89 and 783.95 is: 1,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.51 : 3,123.89 = 783.95 : x
  2. Step 2: Convert to fraction form
    2,082.51/3,123.89 = 783.95/x
  3. Step 3: Cross multiply
    2,082.51x = 3,123.89 × 783.95
  4. Step 4: Simplify right side
    2,082.51x = 2,448,954.03
  5. Step 5: Solve for x
    x = 2,448,954.03/2,082.51
  6. Step 6: Final answer
    x = 1,175.96

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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.