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Finding the Fourth Proportional to 1,709.97, 2,552.72 and 1,525.42

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Solution

The fourth proportional to 1,709.97, 2,552.72 and 1,525.42 is: 2,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.97 : 2,552.72 = 1,525.42 : x
  2. Step 2: Convert to fraction form
    1,709.97/2,552.72 = 1,525.42/x
  3. Step 3: Cross multiply
    1,709.97x = 2,552.72 × 1,525.42
  4. Step 4: Simplify right side
    1,709.97x = 3,893,970.14
  5. Step 5: Solve for x
    x = 3,893,970.14/1,709.97
  6. Step 6: Final answer
    x = 2,277.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.