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Finding the Fourth Proportional to 1,141.36, 1,712.87 and 1,073.32

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Solution

The fourth proportional to 1,141.36, 1,712.87 and 1,073.32 is: 1,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.36 : 1,712.87 = 1,073.32 : x
  2. Step 2: Convert to fraction form
    1,141.36/1,712.87 = 1,073.32/x
  3. Step 3: Cross multiply
    1,141.36x = 1,712.87 × 1,073.32
  4. Step 4: Simplify right side
    1,141.36x = 1,838,457.63
  5. Step 5: Solve for x
    x = 1,838,457.63/1,141.36
  6. Step 6: Final answer
    x = 1,610.76

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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.