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Finding the Fourth Proportional to 2,509.66, 3,464.10 and 1,448.14

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Solution

The fourth proportional to 2,509.66, 3,464.10 and 1,448.14 is: 1,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.66 : 3,464.10 = 1,448.14 : x
  2. Step 2: Convert to fraction form
    2,509.66/3,464.10 = 1,448.14/x
  3. Step 3: Cross multiply
    2,509.66x = 3,464.10 × 1,448.14
  4. Step 4: Simplify right side
    2,509.66x = 5,016,501.77
  5. Step 5: Solve for x
    x = 5,016,501.77/2,509.66
  6. Step 6: Final answer
    x = 1,998.88

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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.