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Finding the Fourth Proportional to 1,715.83, 2,574.41 and 1,022.81

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Solution

The fourth proportional to 1,715.83, 2,574.41 and 1,022.81 is: 1,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.83 : 2,574.41 = 1,022.81 : x
  2. Step 2: Convert to fraction form
    1,715.83/2,574.41 = 1,022.81/x
  3. Step 3: Cross multiply
    1,715.83x = 2,574.41 × 1,022.81
  4. Step 4: Simplify right side
    1,715.83x = 2,633,132.29
  5. Step 5: Solve for x
    x = 2,633,132.29/1,715.83
  6. Step 6: Final answer
    x = 1,534.61

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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.