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Finding the Fourth Proportional to 3,159.46, 4,359.84 and 1,743.06

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Solution

The fourth proportional to 3,159.46, 4,359.84 and 1,743.06 is: 2,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.46 : 4,359.84 = 1,743.06 : x
  2. Step 2: Convert to fraction form
    3,159.46/4,359.84 = 1,743.06/x
  3. Step 3: Cross multiply
    3,159.46x = 4,359.84 × 1,743.06
  4. Step 4: Simplify right side
    3,159.46x = 7,599,462.71
  5. Step 5: Solve for x
    x = 7,599,462.71/3,159.46
  6. Step 6: Final answer
    x = 2,405.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.