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Finding the Fourth Proportional to 2,715.59, 3,748.24 and 1,596.89

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Solution

The fourth proportional to 2,715.59, 3,748.24 and 1,596.89 is: 2,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.59 : 3,748.24 = 1,596.89 : x
  2. Step 2: Convert to fraction form
    2,715.59/3,748.24 = 1,596.89/x
  3. Step 3: Cross multiply
    2,715.59x = 3,748.24 × 1,596.89
  4. Step 4: Simplify right side
    2,715.59x = 5,985,526.97
  5. Step 5: Solve for x
    x = 5,985,526.97/2,715.59
  6. Step 6: Final answer
    x = 2,204.14

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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.