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Finding the Fourth Proportional to 2,810.42, 4,216.44 and 862.91

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Solution

The fourth proportional to 2,810.42, 4,216.44 and 862.91 is: 1,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.42 : 4,216.44 = 862.91 : x
  2. Step 2: Convert to fraction form
    2,810.42/4,216.44 = 862.91/x
  3. Step 3: Cross multiply
    2,810.42x = 4,216.44 × 862.91
  4. Step 4: Simplify right side
    2,810.42x = 3,638,408.24
  5. Step 5: Solve for x
    x = 3,638,408.24/2,810.42
  6. Step 6: Final answer
    x = 1,294.61

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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.