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Finding the Fourth Proportional to 2,256.31, 3,111.31 and 1,549.18

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Solution

The fourth proportional to 2,256.31, 3,111.31 and 1,549.18 is: 2,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.31 : 3,111.31 = 1,549.18 : x
  2. Step 2: Convert to fraction form
    2,256.31/3,111.31 = 1,549.18/x
  3. Step 3: Cross multiply
    2,256.31x = 3,111.31 × 1,549.18
  4. Step 4: Simplify right side
    2,256.31x = 4,819,979.23
  5. Step 5: Solve for x
    x = 4,819,979.23/2,256.31
  6. Step 6: Final answer
    x = 2,136.22

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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.