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Finding the Fourth Proportional to 2,816.25, 3,886.43 and 1,574.25

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Solution

The fourth proportional to 2,816.25, 3,886.43 and 1,574.25 is: 2,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.25 : 3,886.43 = 1,574.25 : x
  2. Step 2: Convert to fraction form
    2,816.25/3,886.43 = 1,574.25/x
  3. Step 3: Cross multiply
    2,816.25x = 3,886.43 × 1,574.25
  4. Step 4: Simplify right side
    2,816.25x = 6,118,204.56
  5. Step 5: Solve for x
    x = 6,118,204.56/2,816.25
  6. Step 6: Final answer
    x = 2,172.47

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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.