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Finding the Fourth Proportional to 1,301.99, 1,950.92 and 1,057.32

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Solution

The fourth proportional to 1,301.99, 1,950.92 and 1,057.32 is: 1,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.99 : 1,950.92 = 1,057.32 : x
  2. Step 2: Convert to fraction form
    1,301.99/1,950.92 = 1,057.32/x
  3. Step 3: Cross multiply
    1,301.99x = 1,950.92 × 1,057.32
  4. Step 4: Simplify right side
    1,301.99x = 2,062,746.73
  5. Step 5: Solve for x
    x = 2,062,746.73/1,301.99
  6. Step 6: Final answer
    x = 1,584.30

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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.