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Finding the Fourth Proportional to 3,116.54, 4,300.83 and 1,772.08

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Solution

The fourth proportional to 3,116.54, 4,300.83 and 1,772.08 is: 2,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.54 : 4,300.83 = 1,772.08 : x
  2. Step 2: Convert to fraction form
    3,116.54/4,300.83 = 1,772.08/x
  3. Step 3: Cross multiply
    3,116.54x = 4,300.83 × 1,772.08
  4. Step 4: Simplify right side
    3,116.54x = 7,621,404.07
  5. Step 5: Solve for x
    x = 7,621,404.07/3,116.54
  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.