Home / 2,464.32-3,402-1,533.12

Finding the Fourth Proportional to 2,464.32, 3,402 and 1,533.12

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Solution

The fourth proportional to 2,464.32, 3,402 and 1,533.12 is: 2,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.32 : 3,402 = 1,533.12 : x
  2. Step 2: Convert to fraction form
    2,464.32/3,402 = 1,533.12/x
  3. Step 3: Cross multiply
    2,464.32x = 3,402 × 1,533.12
  4. Step 4: Simplify right side
    2,464.32x = 5,215,674.24
  5. Step 5: Solve for x
    x = 5,215,674.24/2,464.32
  6. Step 6: Final answer
    x = 2,116.48

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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.