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Finding the Fourth Proportional to 2,795.90, 4,197.05 and 1,642.30

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Solution

The fourth proportional to 2,795.90, 4,197.05 and 1,642.30 is: 2,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.90 : 4,197.05 = 1,642.30 : x
  2. Step 2: Convert to fraction form
    2,795.90/4,197.05 = 1,642.30/x
  3. Step 3: Cross multiply
    2,795.90x = 4,197.05 × 1,642.30
  4. Step 4: Simplify right side
    2,795.90x = 6,892,815.22
  5. Step 5: Solve for x
    x = 6,892,815.22/2,795.90
  6. Step 6: Final answer
    x = 2,465.33

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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.