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Finding the Fourth Proportional to 2,693.59, 3,716.35 and 1,631.75

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Solution

The fourth proportional to 2,693.59, 3,716.35 and 1,631.75 is: 2,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.59 : 3,716.35 = 1,631.75 : x
  2. Step 2: Convert to fraction form
    2,693.59/3,716.35 = 1,631.75/x
  3. Step 3: Cross multiply
    2,693.59x = 3,716.35 × 1,631.75
  4. Step 4: Simplify right side
    2,693.59x = 6,064,131.45
  5. Step 5: Solve for x
    x = 6,064,131.45/2,693.59
  6. Step 6: Final answer
    x = 2,251.32

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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.