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Finding the Fourth Proportional to 1,597.26, 2,196.48 and 1,278.54

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Solution

The fourth proportional to 1,597.26, 2,196.48 and 1,278.54 is: 1,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.26 : 2,196.48 = 1,278.54 : x
  2. Step 2: Convert to fraction form
    1,597.26/2,196.48 = 1,278.54/x
  3. Step 3: Cross multiply
    1,597.26x = 2,196.48 × 1,278.54
  4. Step 4: Simplify right side
    1,597.26x = 2,808,287.54
  5. Step 5: Solve for x
    x = 2,808,287.54/1,597.26
  6. Step 6: Final answer
    x = 1,758.19

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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.