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Finding the Fourth Proportional to 2,468.57, 3,404.70 and 1,473.63

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Solution

The fourth proportional to 2,468.57, 3,404.70 and 1,473.63 is: 2,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.57 : 3,404.70 = 1,473.63 : x
  2. Step 2: Convert to fraction form
    2,468.57/3,404.70 = 1,473.63/x
  3. Step 3: Cross multiply
    2,468.57x = 3,404.70 × 1,473.63
  4. Step 4: Simplify right side
    2,468.57x = 5,017,268.06
  5. Step 5: Solve for x
    x = 5,017,268.06/2,468.57
  6. Step 6: Final answer
    x = 2,032.46

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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.