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Finding the Fourth Proportional to 2,660.51, 3,990.27 and 786

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Solution

The fourth proportional to 2,660.51, 3,990.27 and 786 is: 1,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.51 : 3,990.27 = 786 : x
  2. Step 2: Convert to fraction form
    2,660.51/3,990.27 = 786/x
  3. Step 3: Cross multiply
    2,660.51x = 3,990.27 × 786
  4. Step 4: Simplify right side
    2,660.51x = 3,136,352.22
  5. Step 5: Solve for x
    x = 3,136,352.22/2,660.51
  6. Step 6: Final answer
    x = 1,178.85

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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.