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Finding the Fourth Proportional to 2,825.78, 4,237.90 and 1,182.06

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Solution

The fourth proportional to 2,825.78, 4,237.90 and 1,182.06 is: 1,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.78 : 4,237.90 = 1,182.06 : x
  2. Step 2: Convert to fraction form
    2,825.78/4,237.90 = 1,182.06/x
  3. Step 3: Cross multiply
    2,825.78x = 4,237.90 × 1,182.06
  4. Step 4: Simplify right side
    2,825.78x = 5,009,452.07
  5. Step 5: Solve for x
    x = 5,009,452.07/2,825.78
  6. Step 6: Final answer
    x = 1,772.77

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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.