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Finding the Fourth Proportional to 3,159.63, 4,360.32 and 1,743.35

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Solution

The fourth proportional to 3,159.63, 4,360.32 and 1,743.35 is: 2,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.63 : 4,360.32 = 1,743.35 : x
  2. Step 2: Convert to fraction form
    3,159.63/4,360.32 = 1,743.35/x
  3. Step 3: Cross multiply
    3,159.63x = 4,360.32 × 1,743.35
  4. Step 4: Simplify right side
    3,159.63x = 7,601,542.07
  5. Step 5: Solve for x
    x = 7,601,542.07/3,159.63
  6. Step 6: Final answer
    x = 2,405.83

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