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Finding the Fourth Proportional to 2,552.98, 3,825.87 and 2,030.66

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Solution

The fourth proportional to 2,552.98, 3,825.87 and 2,030.66 is: 3,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.98 : 3,825.87 = 2,030.66 : x
  2. Step 2: Convert to fraction form
    2,552.98/3,825.87 = 2,030.66/x
  3. Step 3: Cross multiply
    2,552.98x = 3,825.87 × 2,030.66
  4. Step 4: Simplify right side
    2,552.98x = 7,769,041.17
  5. Step 5: Solve for x
    x = 7,769,041.17/2,552.98
  6. Step 6: Final answer
    x = 3,043.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.