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Finding the Fourth Proportional to 2,702.48, 4,055.52 and 1,825.46

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Solution

The fourth proportional to 2,702.48, 4,055.52 and 1,825.46 is: 2,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.48 : 4,055.52 = 1,825.46 : x
  2. Step 2: Convert to fraction form
    2,702.48/4,055.52 = 1,825.46/x
  3. Step 3: Cross multiply
    2,702.48x = 4,055.52 × 1,825.46
  4. Step 4: Simplify right side
    2,702.48x = 7,403,189.54
  5. Step 5: Solve for x
    x = 7,403,189.54/2,702.48
  6. Step 6: Final answer
    x = 2,739.41

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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.