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Finding the Fourth Proportional to 1,534.36, 2,116.94 and 871.16

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Solution

The fourth proportional to 1,534.36, 2,116.94 and 871.16 is: 1,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.36 : 2,116.94 = 871.16 : x
  2. Step 2: Convert to fraction form
    1,534.36/2,116.94 = 871.16/x
  3. Step 3: Cross multiply
    1,534.36x = 2,116.94 × 871.16
  4. Step 4: Simplify right side
    1,534.36x = 1,844,193.45
  5. Step 5: Solve for x
    x = 1,844,193.45/1,534.36
  6. Step 6: Final answer
    x = 1,201.93

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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.