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Finding the Fourth Proportional to 2,235.88, 3,354.09 and 592.46

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Solution

The fourth proportional to 2,235.88, 3,354.09 and 592.46 is: 888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.88 : 3,354.09 = 592.46 : x
  2. Step 2: Convert to fraction form
    2,235.88/3,354.09 = 592.46/x
  3. Step 3: Cross multiply
    2,235.88x = 3,354.09 × 592.46
  4. Step 4: Simplify right side
    2,235.88x = 1,987,164.16
  5. Step 5: Solve for x
    x = 1,987,164.16/2,235.88
  6. Step 6: Final answer
    x = 888.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.