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Finding the Fourth Proportional to 2,483.62, 3,427.56 and 1,642.86

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Solution

The fourth proportional to 2,483.62, 3,427.56 and 1,642.86 is: 2,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.62 : 3,427.56 = 1,642.86 : x
  2. Step 2: Convert to fraction form
    2,483.62/3,427.56 = 1,642.86/x
  3. Step 3: Cross multiply
    2,483.62x = 3,427.56 × 1,642.86
  4. Step 4: Simplify right side
    2,483.62x = 5,631,001.22
  5. Step 5: Solve for x
    x = 5,631,001.22/2,483.62
  6. Step 6: Final answer
    x = 2,267.26

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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.