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Finding the Fourth Proportional to 4,209.64, 6,315 and 1,612.24

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Solution

The fourth proportional to 4,209.64, 6,315 and 1,612.24 is: 2,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.64 : 6,315 = 1,612.24 : x
  2. Step 2: Convert to fraction form
    4,209.64/6,315 = 1,612.24/x
  3. Step 3: Cross multiply
    4,209.64x = 6,315 × 1,612.24
  4. Step 4: Simplify right side
    4,209.64x = 10,181,295.60
  5. Step 5: Solve for x
    x = 10,181,295.60/4,209.64
  6. Step 6: Final answer
    x = 2,418.57

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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.