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Finding the Fourth Proportional to 2,256.72, 3,112.12 and 1,510.80

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Solution

The fourth proportional to 2,256.72, 3,112.12 and 1,510.80 is: 2,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.72 : 3,112.12 = 1,510.80 : x
  2. Step 2: Convert to fraction form
    2,256.72/3,112.12 = 1,510.80/x
  3. Step 3: Cross multiply
    2,256.72x = 3,112.12 × 1,510.80
  4. Step 4: Simplify right side
    2,256.72x = 4,701,790.90
  5. Step 5: Solve for x
    x = 4,701,790.90/2,256.72
  6. Step 6: Final answer
    x = 2,083.46

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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.