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Finding the Fourth Proportional to 1,760.45, 2,639.06 and 786.02

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Solution

The fourth proportional to 1,760.45, 2,639.06 and 786.02 is: 1,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.45 : 2,639.06 = 786.02 : x
  2. Step 2: Convert to fraction form
    1,760.45/2,639.06 = 786.02/x
  3. Step 3: Cross multiply
    1,760.45x = 2,639.06 × 786.02
  4. Step 4: Simplify right side
    1,760.45x = 2,074,350.01
  5. Step 5: Solve for x
    x = 2,074,350.01/1,760.45
  6. Step 6: Final answer
    x = 1,178.31

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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.