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Finding the Fourth Proportional to 2,264.16, 3,389.04 and 1,222.68

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Solution

The fourth proportional to 2,264.16, 3,389.04 and 1,222.68 is: 1,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.16 : 3,389.04 = 1,222.68 : x
  2. Step 2: Convert to fraction form
    2,264.16/3,389.04 = 1,222.68/x
  3. Step 3: Cross multiply
    2,264.16x = 3,389.04 × 1,222.68
  4. Step 4: Simplify right side
    2,264.16x = 4,143,711.43
  5. Step 5: Solve for x
    x = 4,143,711.43/2,264.16
  6. Step 6: Final answer
    x = 1,830.13

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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.