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Finding the Fourth Proportional to 2,817.06, 4,224.51 and 967.83

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Solution

The fourth proportional to 2,817.06, 4,224.51 and 967.83 is: 1,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.06 : 4,224.51 = 967.83 : x
  2. Step 2: Convert to fraction form
    2,817.06/4,224.51 = 967.83/x
  3. Step 3: Cross multiply
    2,817.06x = 4,224.51 × 967.83
  4. Step 4: Simplify right side
    2,817.06x = 4,088,607.51
  5. Step 5: Solve for x
    x = 4,088,607.51/2,817.06
  6. Step 6: Final answer
    x = 1,451.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.