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Finding the Fourth Proportional to 2,431.52, 3,354 and 1,733.12

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Solution

The fourth proportional to 2,431.52, 3,354 and 1,733.12 is: 2,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.52 : 3,354 = 1,733.12 : x
  2. Step 2: Convert to fraction form
    2,431.52/3,354 = 1,733.12/x
  3. Step 3: Cross multiply
    2,431.52x = 3,354 × 1,733.12
  4. Step 4: Simplify right side
    2,431.52x = 5,812,884.48
  5. Step 5: Solve for x
    x = 5,812,884.48/2,431.52
  6. Step 6: Final answer
    x = 2,390.64

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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.