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Finding the Fourth Proportional to 2,966.96, 4,455.07 and 2,835.51

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Solution

The fourth proportional to 2,966.96, 4,455.07 and 2,835.51 is: 4,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.96 : 4,455.07 = 2,835.51 : x
  2. Step 2: Convert to fraction form
    2,966.96/4,455.07 = 2,835.51/x
  3. Step 3: Cross multiply
    2,966.96x = 4,455.07 × 2,835.51
  4. Step 4: Simplify right side
    2,966.96x = 12,632,395.54
  5. Step 5: Solve for x
    x = 12,632,395.54/2,966.96
  6. Step 6: Final answer
    x = 4,257.69

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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.