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Finding the Fourth Proportional to 2,683.93, 4,026.28 and 835.21

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Solution

The fourth proportional to 2,683.93, 4,026.28 and 835.21 is: 1,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.93 : 4,026.28 = 835.21 : x
  2. Step 2: Convert to fraction form
    2,683.93/4,026.28 = 835.21/x
  3. Step 3: Cross multiply
    2,683.93x = 4,026.28 × 835.21
  4. Step 4: Simplify right side
    2,683.93x = 3,362,777.17
  5. Step 5: Solve for x
    x = 3,362,777.17/2,683.93
  6. Step 6: Final answer
    x = 1,252.93

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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.