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Finding the Fourth Proportional to 2,096.02, 2,893.65 and 1,468.47

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Solution

The fourth proportional to 2,096.02, 2,893.65 and 1,468.47 is: 2,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.02 : 2,893.65 = 1,468.47 : x
  2. Step 2: Convert to fraction form
    2,096.02/2,893.65 = 1,468.47/x
  3. Step 3: Cross multiply
    2,096.02x = 2,893.65 × 1,468.47
  4. Step 4: Simplify right side
    2,096.02x = 4,249,238.22
  5. Step 5: Solve for x
    x = 4,249,238.22/2,096.02
  6. Step 6: Final answer
    x = 2,027.29

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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.