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Finding the Fourth Proportional to 3,026.66, 4,539.90 and 835.52

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Solution

The fourth proportional to 3,026.66, 4,539.90 and 835.52 is: 1,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.66 : 4,539.90 = 835.52 : x
  2. Step 2: Convert to fraction form
    3,026.66/4,539.90 = 835.52/x
  3. Step 3: Cross multiply
    3,026.66x = 4,539.90 × 835.52
  4. Step 4: Simplify right side
    3,026.66x = 3,793,177.25
  5. Step 5: Solve for x
    x = 3,793,177.25/3,026.66
  6. Step 6: Final answer
    x = 1,253.26

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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.