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Finding the Fourth Proportional to 1,715.68, 2,574.32 and 1,022.32

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Solution

The fourth proportional to 1,715.68, 2,574.32 and 1,022.32 is: 1,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.68 : 2,574.32 = 1,022.32 : x
  2. Step 2: Convert to fraction form
    1,715.68/2,574.32 = 1,022.32/x
  3. Step 3: Cross multiply
    1,715.68x = 2,574.32 × 1,022.32
  4. Step 4: Simplify right side
    1,715.68x = 2,631,778.82
  5. Step 5: Solve for x
    x = 2,631,778.82/1,715.68
  6. Step 6: Final answer
    x = 1,533.96

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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.