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Finding the Fourth Proportional to 2,099.52, 2,897.44 and 1,749.60

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Solution

The fourth proportional to 2,099.52, 2,897.44 and 1,749.60 is: 2,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.52 : 2,897.44 = 1,749.60 : x
  2. Step 2: Convert to fraction form
    2,099.52/2,897.44 = 1,749.60/x
  3. Step 3: Cross multiply
    2,099.52x = 2,897.44 × 1,749.60
  4. Step 4: Simplify right side
    2,099.52x = 5,069,361.02
  5. Step 5: Solve for x
    x = 5,069,361.02/2,099.52
  6. Step 6: Final answer
    x = 2,414.53

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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.