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Finding the Fourth Proportional to 2,693.85, 4,034.30 and 1,825.53

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Solution

The fourth proportional to 2,693.85, 4,034.30 and 1,825.53 is: 2,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.85 : 4,034.30 = 1,825.53 : x
  2. Step 2: Convert to fraction form
    2,693.85/4,034.30 = 1,825.53/x
  3. Step 3: Cross multiply
    2,693.85x = 4,034.30 × 1,825.53
  4. Step 4: Simplify right side
    2,693.85x = 7,364,726.55
  5. Step 5: Solve for x
    x = 7,364,726.55/2,693.85
  6. Step 6: Final answer
    x = 2,733.90

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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.