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Finding the Fourth Proportional to 2,459.94, 3,393.20 and 1,464.54

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Solution

The fourth proportional to 2,459.94, 3,393.20 and 1,464.54 is: 2,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.94 : 3,393.20 = 1,464.54 : x
  2. Step 2: Convert to fraction form
    2,459.94/3,393.20 = 1,464.54/x
  3. Step 3: Cross multiply
    2,459.94x = 3,393.20 × 1,464.54
  4. Step 4: Simplify right side
    2,459.94x = 4,969,477.13
  5. Step 5: Solve for x
    x = 4,969,477.13/2,459.94
  6. Step 6: Final answer
    x = 2,020.16

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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.