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Finding the Fourth Proportional to 2,473.48, 3,414.26 and 1,425.96

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Solution

The fourth proportional to 2,473.48, 3,414.26 and 1,425.96 is: 1,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.48 : 3,414.26 = 1,425.96 : x
  2. Step 2: Convert to fraction form
    2,473.48/3,414.26 = 1,425.96/x
  3. Step 3: Cross multiply
    2,473.48x = 3,414.26 × 1,425.96
  4. Step 4: Simplify right side
    2,473.48x = 4,868,598.19
  5. Step 5: Solve for x
    x = 4,868,598.19/2,473.48
  6. Step 6: Final answer
    x = 1,968.32

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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.