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Finding the Fourth Proportional to 1,966.31, 2,715.81 and 1,302.01

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Solution

The fourth proportional to 1,966.31, 2,715.81 and 1,302.01 is: 1,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.31 : 2,715.81 = 1,302.01 : x
  2. Step 2: Convert to fraction form
    1,966.31/2,715.81 = 1,302.01/x
  3. Step 3: Cross multiply
    1,966.31x = 2,715.81 × 1,302.01
  4. Step 4: Simplify right side
    1,966.31x = 3,535,998.95
  5. Step 5: Solve for x
    x = 3,535,998.95/1,966.31
  6. Step 6: Final answer
    x = 1,798.29

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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.