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Finding the Fourth Proportional to 1,597.09, 2,205.08 and 1,223.41

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Solution

The fourth proportional to 1,597.09, 2,205.08 and 1,223.41 is: 1,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.09 : 2,205.08 = 1,223.41 : x
  2. Step 2: Convert to fraction form
    1,597.09/2,205.08 = 1,223.41/x
  3. Step 3: Cross multiply
    1,597.09x = 2,205.08 × 1,223.41
  4. Step 4: Simplify right side
    1,597.09x = 2,697,716.92
  5. Step 5: Solve for x
    x = 2,697,716.92/1,597.09
  6. Step 6: Final answer
    x = 1,689.15

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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.