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Finding the Fourth Proportional to 2,159.02, 3,237.99 and 842.35

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Solution

The fourth proportional to 2,159.02, 3,237.99 and 842.35 is: 1,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.02 : 3,237.99 = 842.35 : x
  2. Step 2: Convert to fraction form
    2,159.02/3,237.99 = 842.35/x
  3. Step 3: Cross multiply
    2,159.02x = 3,237.99 × 842.35
  4. Step 4: Simplify right side
    2,159.02x = 2,727,520.88
  5. Step 5: Solve for x
    x = 2,727,520.88/2,159.02
  6. Step 6: Final answer
    x = 1,263.31

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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.