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Finding the Fourth Proportional to 2,810.46, 4,216.29 and 862.80

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Solution

The fourth proportional to 2,810.46, 4,216.29 and 862.80 is: 1,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.46 : 4,216.29 = 862.80 : x
  2. Step 2: Convert to fraction form
    2,810.46/4,216.29 = 862.80/x
  3. Step 3: Cross multiply
    2,810.46x = 4,216.29 × 862.80
  4. Step 4: Simplify right side
    2,810.46x = 3,637,815.01
  5. Step 5: Solve for x
    x = 3,637,815.01/2,810.46
  6. Step 6: Final answer
    x = 1,294.38

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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.