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Finding the Fourth Proportional to 1,764.84, 2,645.58 and 609.78

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Solution

The fourth proportional to 1,764.84, 2,645.58 and 609.78 is: 914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.84 : 2,645.58 = 609.78 : x
  2. Step 2: Convert to fraction form
    1,764.84/2,645.58 = 609.78/x
  3. Step 3: Cross multiply
    1,764.84x = 2,645.58 × 609.78
  4. Step 4: Simplify right side
    1,764.84x = 1,613,221.77
  5. Step 5: Solve for x
    x = 1,613,221.77/1,764.84
  6. Step 6: Final answer
    x = 914.09

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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.