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Finding the Fourth Proportional to 1,760.83, 2,638.29 and 1,065.39

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Solution

The fourth proportional to 1,760.83, 2,638.29 and 1,065.39 is: 1,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.83 : 2,638.29 = 1,065.39 : x
  2. Step 2: Convert to fraction form
    1,760.83/2,638.29 = 1,065.39/x
  3. Step 3: Cross multiply
    1,760.83x = 2,638.29 × 1,065.39
  4. Step 4: Simplify right side
    1,760.83x = 2,810,807.78
  5. Step 5: Solve for x
    x = 2,810,807.78/1,760.83
  6. Step 6: Final answer
    x = 1,596.30

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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.