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Finding the Fourth Proportional to 2,810.82, 4,216.50 and 862.68

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Solution

The fourth proportional to 2,810.82, 4,216.50 and 862.68 is: 1,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.82 : 4,216.50 = 862.68 : x
  2. Step 2: Convert to fraction form
    2,810.82/4,216.50 = 862.68/x
  3. Step 3: Cross multiply
    2,810.82x = 4,216.50 × 862.68
  4. Step 4: Simplify right side
    2,810.82x = 3,637,490.22
  5. Step 5: Solve for x
    x = 3,637,490.22/2,810.82
  6. Step 6: Final answer
    x = 1,294.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.