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Finding the Fourth Proportional to 1,612.92, 2,225.55 and 983.23

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Solution

The fourth proportional to 1,612.92, 2,225.55 and 983.23 is: 1,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.92 : 2,225.55 = 983.23 : x
  2. Step 2: Convert to fraction form
    1,612.92/2,225.55 = 983.23/x
  3. Step 3: Cross multiply
    1,612.92x = 2,225.55 × 983.23
  4. Step 4: Simplify right side
    1,612.92x = 2,188,227.53
  5. Step 5: Solve for x
    x = 2,188,227.53/1,612.92
  6. Step 6: Final answer
    x = 1,356.69

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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.