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Finding the Fourth Proportional to 1,597.86, 2,394.61 and 1,207.55

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Solution

The fourth proportional to 1,597.86, 2,394.61 and 1,207.55 is: 1,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.86 : 2,394.61 = 1,207.55 : x
  2. Step 2: Convert to fraction form
    1,597.86/2,394.61 = 1,207.55/x
  3. Step 3: Cross multiply
    1,597.86x = 2,394.61 × 1,207.55
  4. Step 4: Simplify right side
    1,597.86x = 2,891,596.31
  5. Step 5: Solve for x
    x = 2,891,596.31/1,597.86
  6. Step 6: Final answer
    x = 1,809.67

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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.