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Finding the Fourth Proportional to 1,715.52, 2,570.06 and 1,369.24

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Solution

The fourth proportional to 1,715.52, 2,570.06 and 1,369.24 is: 2,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.52 : 2,570.06 = 1,369.24 : x
  2. Step 2: Convert to fraction form
    1,715.52/2,570.06 = 1,369.24/x
  3. Step 3: Cross multiply
    1,715.52x = 2,570.06 × 1,369.24
  4. Step 4: Simplify right side
    1,715.52x = 3,519,028.95
  5. Step 5: Solve for x
    x = 3,519,028.95/1,715.52
  6. Step 6: Final answer
    x = 2,051.29

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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.