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Finding the Fourth Proportional to 2,810.64, 4,216.24 and 862.88

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Solution

The fourth proportional to 2,810.64, 4,216.24 and 862.88 is: 1,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.64 : 4,216.24 = 862.88 : x
  2. Step 2: Convert to fraction form
    2,810.64/4,216.24 = 862.88/x
  3. Step 3: Cross multiply
    2,810.64x = 4,216.24 × 862.88
  4. Step 4: Simplify right side
    2,810.64x = 3,638,109.17
  5. Step 5: Solve for x
    x = 3,638,109.17/2,810.64
  6. Step 6: Final answer
    x = 1,294.41

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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.