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Finding the Fourth Proportional to 2,715.74, 3,747.75 and 1,596.70

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Solution

The fourth proportional to 2,715.74, 3,747.75 and 1,596.70 is: 2,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.74 : 3,747.75 = 1,596.70 : x
  2. Step 2: Convert to fraction form
    2,715.74/3,747.75 = 1,596.70/x
  3. Step 3: Cross multiply
    2,715.74x = 3,747.75 × 1,596.70
  4. Step 4: Simplify right side
    2,715.74x = 5,984,032.43
  5. Step 5: Solve for x
    x = 5,984,032.43/2,715.74
  6. Step 6: Final answer
    x = 2,203.46

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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.