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Finding the Fourth Proportional to 1,699.44, 2,535.91 and 1,515.57

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Solution

The fourth proportional to 1,699.44, 2,535.91 and 1,515.57 is: 2,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.44 : 2,535.91 = 1,515.57 : x
  2. Step 2: Convert to fraction form
    1,699.44/2,535.91 = 1,515.57/x
  3. Step 3: Cross multiply
    1,699.44x = 2,535.91 × 1,515.57
  4. Step 4: Simplify right side
    1,699.44x = 3,843,349.12
  5. Step 5: Solve for x
    x = 3,843,349.12/1,699.44
  6. Step 6: Final answer
    x = 2,261.54

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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.