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Finding the Fourth Proportional to 3,442.25, 4,751.54 and 2,045

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Solution

The fourth proportional to 3,442.25, 4,751.54 and 2,045 is: 2,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.25 : 4,751.54 = 2,045 : x
  2. Step 2: Convert to fraction form
    3,442.25/4,751.54 = 2,045/x
  3. Step 3: Cross multiply
    3,442.25x = 4,751.54 × 2,045
  4. Step 4: Simplify right side
    3,442.25x = 9,716,889.08
  5. Step 5: Solve for x
    x = 9,716,889.08/3,442.25
  6. Step 6: Final answer
    x = 2,822.83

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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.