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Finding the Fourth Proportional to 2,152.30, 3,228.47 and 592.33

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Solution

The fourth proportional to 2,152.30, 3,228.47 and 592.33 is: 888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.30 : 3,228.47 = 592.33 : x
  2. Step 2: Convert to fraction form
    2,152.30/3,228.47 = 592.33/x
  3. Step 3: Cross multiply
    2,152.30x = 3,228.47 × 592.33
  4. Step 4: Simplify right side
    2,152.30x = 1,912,319.64
  5. Step 5: Solve for x
    x = 1,912,319.64/2,152.30
  6. Step 6: Final answer
    x = 888.50

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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.