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Finding the Fourth Proportional to 1,659.83, 2,290.68 and 1,136.57

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Solution

The fourth proportional to 1,659.83, 2,290.68 and 1,136.57 is: 1,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.83 : 2,290.68 = 1,136.57 : x
  2. Step 2: Convert to fraction form
    1,659.83/2,290.68 = 1,136.57/x
  3. Step 3: Cross multiply
    1,659.83x = 2,290.68 × 1,136.57
  4. Step 4: Simplify right side
    1,659.83x = 2,603,506.71
  5. Step 5: Solve for x
    x = 2,603,506.71/1,659.83
  6. Step 6: Final answer
    x = 1,568.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.