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Finding the Fourth Proportional to 1,553.16, 2,143.35 and 854.55

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Solution

The fourth proportional to 1,553.16, 2,143.35 and 854.55 is: 1,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.16 : 2,143.35 = 854.55 : x
  2. Step 2: Convert to fraction form
    1,553.16/2,143.35 = 854.55/x
  3. Step 3: Cross multiply
    1,553.16x = 2,143.35 × 854.55
  4. Step 4: Simplify right side
    1,553.16x = 1,831,599.74
  5. Step 5: Solve for x
    x = 1,831,599.74/1,553.16
  6. Step 6: Final answer
    x = 1,179.27

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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.