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Finding the Fourth Proportional to 2,323.44, 3,485.04 and 592

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Solution

The fourth proportional to 2,323.44, 3,485.04 and 592 is: 887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.44 : 3,485.04 = 592 : x
  2. Step 2: Convert to fraction form
    2,323.44/3,485.04 = 592/x
  3. Step 3: Cross multiply
    2,323.44x = 3,485.04 × 592
  4. Step 4: Simplify right side
    2,323.44x = 2,063,143.68
  5. Step 5: Solve for x
    x = 2,063,143.68/2,323.44
  6. Step 6: Final answer
    x = 887.97

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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.