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Finding the Fourth Proportional to 3,116.64, 4,300.62 and 1,772.22

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Solution

The fourth proportional to 3,116.64, 4,300.62 and 1,772.22 is: 2,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.64 : 4,300.62 = 1,772.22 : x
  2. Step 2: Convert to fraction form
    3,116.64/4,300.62 = 1,772.22/x
  3. Step 3: Cross multiply
    3,116.64x = 4,300.62 × 1,772.22
  4. Step 4: Simplify right side
    3,116.64x = 7,621,644.78
  5. Step 5: Solve for x
    x = 7,621,644.78/3,116.64
  6. Step 6: Final answer
    x = 2,445.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.