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Finding the Fourth Proportional to 2,509.57, 3,464.94 and 1,919.08

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Solution

The fourth proportional to 2,509.57, 3,464.94 and 1,919.08 is: 2,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.57 : 3,464.94 = 1,919.08 : x
  2. Step 2: Convert to fraction form
    2,509.57/3,464.94 = 1,919.08/x
  3. Step 3: Cross multiply
    2,509.57x = 3,464.94 × 1,919.08
  4. Step 4: Simplify right side
    2,509.57x = 6,649,497.06
  5. Step 5: Solve for x
    x = 6,649,497.06/2,509.57
  6. Step 6: Final answer
    x = 2,649.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.