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Finding the Fourth Proportional to 1,597.11, 2,393.48 and 1,206.79

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Solution

The fourth proportional to 1,597.11, 2,393.48 and 1,206.79 is: 1,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.11 : 2,393.48 = 1,206.79 : x
  2. Step 2: Convert to fraction form
    1,597.11/2,393.48 = 1,206.79/x
  3. Step 3: Cross multiply
    1,597.11x = 2,393.48 × 1,206.79
  4. Step 4: Simplify right side
    1,597.11x = 2,888,438.23
  5. Step 5: Solve for x
    x = 2,888,438.23/1,597.11
  6. Step 6: Final answer
    x = 1,808.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.