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Finding the Fourth Proportional to 1,410.85, 2,116.87 and 760.82

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Solution

The fourth proportional to 1,410.85, 2,116.87 and 760.82 is: 1,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.85 : 2,116.87 = 760.82 : x
  2. Step 2: Convert to fraction form
    1,410.85/2,116.87 = 760.82/x
  3. Step 3: Cross multiply
    1,410.85x = 2,116.87 × 760.82
  4. Step 4: Simplify right side
    1,410.85x = 1,610,557.03
  5. Step 5: Solve for x
    x = 1,610,557.03/1,410.85
  6. Step 6: Final answer
    x = 1,141.55

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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.