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Finding the Fourth Proportional to 1,534.06, 2,116.96 and 835.44

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Solution

The fourth proportional to 1,534.06, 2,116.96 and 835.44 is: 1,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.06 : 2,116.96 = 835.44 : x
  2. Step 2: Convert to fraction form
    1,534.06/2,116.96 = 835.44/x
  3. Step 3: Cross multiply
    1,534.06x = 2,116.96 × 835.44
  4. Step 4: Simplify right side
    1,534.06x = 1,768,593.06
  5. Step 5: Solve for x
    x = 1,768,593.06/1,534.06
  6. Step 6: Final answer
    x = 1,152.88

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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.