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Finding the Fourth Proportional to 2,716.70, 3,748.10 and 1,597.37

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Solution

The fourth proportional to 2,716.70, 3,748.10 and 1,597.37 is: 2,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.70 : 3,748.10 = 1,597.37 : x
  2. Step 2: Convert to fraction form
    2,716.70/3,748.10 = 1,597.37/x
  3. Step 3: Cross multiply
    2,716.70x = 3,748.10 × 1,597.37
  4. Step 4: Simplify right side
    2,716.70x = 5,987,075.77
  5. Step 5: Solve for x
    x = 5,987,075.77/2,716.70
  6. Step 6: Final answer
    x = 2,203.81

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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.