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Finding the Fourth Proportional to 1,693.21, 2,535.76 and 1,074.98

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Solution

The fourth proportional to 1,693.21, 2,535.76 and 1,074.98 is: 1,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.21 : 2,535.76 = 1,074.98 : x
  2. Step 2: Convert to fraction form
    1,693.21/2,535.76 = 1,074.98/x
  3. Step 3: Cross multiply
    1,693.21x = 2,535.76 × 1,074.98
  4. Step 4: Simplify right side
    1,693.21x = 2,725,873.23
  5. Step 5: Solve for x
    x = 2,725,873.23/1,693.21
  6. Step 6: Final answer
    x = 1,609.89

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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.