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Finding the Fourth Proportional to 2,159.83, 3,239.79 and 1,615.47

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Solution

The fourth proportional to 2,159.83, 3,239.79 and 1,615.47 is: 2,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.83 : 3,239.79 = 1,615.47 : x
  2. Step 2: Convert to fraction form
    2,159.83/3,239.79 = 1,615.47/x
  3. Step 3: Cross multiply
    2,159.83x = 3,239.79 × 1,615.47
  4. Step 4: Simplify right side
    2,159.83x = 5,233,767.35
  5. Step 5: Solve for x
    x = 5,233,767.35/2,159.83
  6. Step 6: Final answer
    x = 2,423.24

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