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Finding the Fourth Proportional to 2,354.15, 3,246.93 and 1,724.45

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Solution

The fourth proportional to 2,354.15, 3,246.93 and 1,724.45 is: 2,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.15 : 3,246.93 = 1,724.45 : x
  2. Step 2: Convert to fraction form
    2,354.15/3,246.93 = 1,724.45/x
  3. Step 3: Cross multiply
    2,354.15x = 3,246.93 × 1,724.45
  4. Step 4: Simplify right side
    2,354.15x = 5,599,152.20
  5. Step 5: Solve for x
    x = 5,599,152.20/2,354.15
  6. Step 6: Final answer
    x = 2,378.42

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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.