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Finding the Fourth Proportional to 1,462.80, 2,191.77 and 1,029.05

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Solution

The fourth proportional to 1,462.80, 2,191.77 and 1,029.05 is: 1,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.80 : 2,191.77 = 1,029.05 : x
  2. Step 2: Convert to fraction form
    1,462.80/2,191.77 = 1,029.05/x
  3. Step 3: Cross multiply
    1,462.80x = 2,191.77 × 1,029.05
  4. Step 4: Simplify right side
    1,462.80x = 2,255,429.96
  5. Step 5: Solve for x
    x = 2,255,429.96/1,462.80
  6. Step 6: Final answer
    x = 1,541.86

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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.