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Finding the Fourth Proportional to 3,159.36, 4,359.84 and 1,762.10

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Solution

The fourth proportional to 3,159.36, 4,359.84 and 1,762.10 is: 2,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.36 : 4,359.84 = 1,762.10 : x
  2. Step 2: Convert to fraction form
    3,159.36/4,359.84 = 1,762.10/x
  3. Step 3: Cross multiply
    3,159.36x = 4,359.84 × 1,762.10
  4. Step 4: Simplify right side
    3,159.36x = 7,682,474.06
  5. Step 5: Solve for x
    x = 7,682,474.06/3,159.36
  6. Step 6: Final answer
    x = 2,431.66

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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.