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Finding the Fourth Proportional to 1,715.69, 2,567.16 and 1,022.74

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Solution

The fourth proportional to 1,715.69, 2,567.16 and 1,022.74 is: 1,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.69 : 2,567.16 = 1,022.74 : x
  2. Step 2: Convert to fraction form
    1,715.69/2,567.16 = 1,022.74/x
  3. Step 3: Cross multiply
    1,715.69x = 2,567.16 × 1,022.74
  4. Step 4: Simplify right side
    1,715.69x = 2,625,530.80
  5. Step 5: Solve for x
    x = 2,625,530.80/1,715.69
  6. Step 6: Final answer
    x = 1,530.30

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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.