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Finding the Fourth Proportional to 1,760.37, 2,643.96 and 1,296.32

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Solution

The fourth proportional to 1,760.37, 2,643.96 and 1,296.32 is: 1,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.37 : 2,643.96 = 1,296.32 : x
  2. Step 2: Convert to fraction form
    1,760.37/2,643.96 = 1,296.32/x
  3. Step 3: Cross multiply
    1,760.37x = 2,643.96 × 1,296.32
  4. Step 4: Simplify right side
    1,760.37x = 3,427,405.01
  5. Step 5: Solve for x
    x = 3,427,405.01/1,760.37
  6. Step 6: Final answer
    x = 1,946.98

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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.