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Finding the Fourth Proportional to 2,040.74, 2,816.25 and 1,254.50

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Solution

The fourth proportional to 2,040.74, 2,816.25 and 1,254.50 is: 1,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.74 : 2,816.25 = 1,254.50 : x
  2. Step 2: Convert to fraction form
    2,040.74/2,816.25 = 1,254.50/x
  3. Step 3: Cross multiply
    2,040.74x = 2,816.25 × 1,254.50
  4. Step 4: Simplify right side
    2,040.74x = 3,532,985.63
  5. Step 5: Solve for x
    x = 3,532,985.63/2,040.74
  6. Step 6: Final answer
    x = 1,731.23

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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.