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Finding the Fourth Proportional to 1,795.41, 2,693.16 and 820.35

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Solution

The fourth proportional to 1,795.41, 2,693.16 and 820.35 is: 1,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.41 : 2,693.16 = 820.35 : x
  2. Step 2: Convert to fraction form
    1,795.41/2,693.16 = 820.35/x
  3. Step 3: Cross multiply
    1,795.41x = 2,693.16 × 820.35
  4. Step 4: Simplify right side
    1,795.41x = 2,209,333.81
  5. Step 5: Solve for x
    x = 2,209,333.81/1,795.41
  6. Step 6: Final answer
    x = 1,230.55

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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.