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Finding the Fourth Proportional to 1,597.68, 2,206.92 and 1,306.62

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Solution

The fourth proportional to 1,597.68, 2,206.92 and 1,306.62 is: 1,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.68 : 2,206.92 = 1,306.62 : x
  2. Step 2: Convert to fraction form
    1,597.68/2,206.92 = 1,306.62/x
  3. Step 3: Cross multiply
    1,597.68x = 2,206.92 × 1,306.62
  4. Step 4: Simplify right side
    1,597.68x = 2,883,605.81
  5. Step 5: Solve for x
    x = 2,883,605.81/1,597.68
  6. Step 6: Final answer
    x = 1,804.87

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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.