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Finding the Fourth Proportional to 2,192.84, 3,290.22 and 1,152.60

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Solution

The fourth proportional to 2,192.84, 3,290.22 and 1,152.60 is: 1,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.84 : 3,290.22 = 1,152.60 : x
  2. Step 2: Convert to fraction form
    2,192.84/3,290.22 = 1,152.60/x
  3. Step 3: Cross multiply
    2,192.84x = 3,290.22 × 1,152.60
  4. Step 4: Simplify right side
    2,192.84x = 3,792,307.57
  5. Step 5: Solve for x
    x = 3,792,307.57/2,192.84
  6. Step 6: Final answer
    x = 1,729.40

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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.