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Finding the Fourth Proportional to 2,698.56, 4,045.32 and 1,464.16

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Solution

The fourth proportional to 2,698.56, 4,045.32 and 1,464.16 is: 2,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.56 : 4,045.32 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    2,698.56/4,045.32 = 1,464.16/x
  3. Step 3: Cross multiply
    2,698.56x = 4,045.32 × 1,464.16
  4. Step 4: Simplify right side
    2,698.56x = 5,922,995.73
  5. Step 5: Solve for x
    x = 5,922,995.73/2,698.56
  6. Step 6: Final answer
    x = 2,194.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.