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Finding the Fourth Proportional to 1,715.72, 2,567.04 and 1,553.72

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Solution

The fourth proportional to 1,715.72, 2,567.04 and 1,553.72 is: 2,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.72 : 2,567.04 = 1,553.72 : x
  2. Step 2: Convert to fraction form
    1,715.72/2,567.04 = 1,553.72/x
  3. Step 3: Cross multiply
    1,715.72x = 2,567.04 × 1,553.72
  4. Step 4: Simplify right side
    1,715.72x = 3,988,461.39
  5. Step 5: Solve for x
    x = 3,988,461.39/1,715.72
  6. Step 6: Final answer
    x = 2,324.66

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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.