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Finding the Fourth Proportional to 2,464.94, 3,401.62 and 1,345.88

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Solution

The fourth proportional to 2,464.94, 3,401.62 and 1,345.88 is: 1,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.94 : 3,401.62 = 1,345.88 : x
  2. Step 2: Convert to fraction form
    2,464.94/3,401.62 = 1,345.88/x
  3. Step 3: Cross multiply
    2,464.94x = 3,401.62 × 1,345.88
  4. Step 4: Simplify right side
    2,464.94x = 4,578,172.33
  5. Step 5: Solve for x
    x = 4,578,172.33/2,464.94
  6. Step 6: Final answer
    x = 1,857.32

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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.