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Finding the Fourth Proportional to 2,693.34, 4,040.46 and 1,597.14

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Solution

The fourth proportional to 2,693.34, 4,040.46 and 1,597.14 is: 2,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.34 : 4,040.46 = 1,597.14 : x
  2. Step 2: Convert to fraction form
    2,693.34/4,040.46 = 1,597.14/x
  3. Step 3: Cross multiply
    2,693.34x = 4,040.46 × 1,597.14
  4. Step 4: Simplify right side
    2,693.34x = 6,453,180.28
  5. Step 5: Solve for x
    x = 6,453,180.28/2,693.34
  6. Step 6: Final answer
    x = 2,395.98

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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.