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Finding the Fourth Proportional to 2,394.68, 3,574.55 and 2,288.16

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Solution

The fourth proportional to 2,394.68, 3,574.55 and 2,288.16 is: 3,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.68 : 3,574.55 = 2,288.16 : x
  2. Step 2: Convert to fraction form
    2,394.68/3,574.55 = 2,288.16/x
  3. Step 3: Cross multiply
    2,394.68x = 3,574.55 × 2,288.16
  4. Step 4: Simplify right side
    2,394.68x = 8,179,148.05
  5. Step 5: Solve for x
    x = 8,179,148.05/2,394.68
  6. Step 6: Final answer
    x = 3,415.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.