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Finding the Fourth Proportional to 1,764.57, 2,404.74 and 1,758.09

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Solution

The fourth proportional to 1,764.57, 2,404.74 and 1,758.09 is: 2,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.57 : 2,404.74 = 1,758.09 : x
  2. Step 2: Convert to fraction form
    1,764.57/2,404.74 = 1,758.09/x
  3. Step 3: Cross multiply
    1,764.57x = 2,404.74 × 1,758.09
  4. Step 4: Simplify right side
    1,764.57x = 4,227,749.35
  5. Step 5: Solve for x
    x = 4,227,749.35/1,764.57
  6. Step 6: Final answer
    x = 2,395.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.