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Finding the Fourth Proportional to 2,159.18, 3,239.04 and 1,063.58

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Solution

The fourth proportional to 2,159.18, 3,239.04 and 1,063.58 is: 1,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.18 : 3,239.04 = 1,063.58 : x
  2. Step 2: Convert to fraction form
    2,159.18/3,239.04 = 1,063.58/x
  3. Step 3: Cross multiply
    2,159.18x = 3,239.04 × 1,063.58
  4. Step 4: Simplify right side
    2,159.18x = 3,444,978.16
  5. Step 5: Solve for x
    x = 3,444,978.16/2,159.18
  6. Step 6: Final answer
    x = 1,595.50

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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.