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Finding the Fourth Proportional to 1,716.58, 2,570.73 and 1,089.69

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Solution

The fourth proportional to 1,716.58, 2,570.73 and 1,089.69 is: 1,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.58 : 2,570.73 = 1,089.69 : x
  2. Step 2: Convert to fraction form
    1,716.58/2,570.73 = 1,089.69/x
  3. Step 3: Cross multiply
    1,716.58x = 2,570.73 × 1,089.69
  4. Step 4: Simplify right side
    1,716.58x = 2,801,298.77
  5. Step 5: Solve for x
    x = 2,801,298.77/1,716.58
  6. Step 6: Final answer
    x = 1,631.91

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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.