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Finding the Fourth Proportional to 1,141.17, 1,564.98 and 1,093.82

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Solution

The fourth proportional to 1,141.17, 1,564.98 and 1,093.82 is: 1,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.17 : 1,564.98 = 1,093.82 : x
  2. Step 2: Convert to fraction form
    1,141.17/1,564.98 = 1,093.82/x
  3. Step 3: Cross multiply
    1,141.17x = 1,564.98 × 1,093.82
  4. Step 4: Simplify right side
    1,141.17x = 1,711,798.60
  5. Step 5: Solve for x
    x = 1,711,798.60/1,141.17
  6. Step 6: Final answer
    x = 1,500.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.