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Finding the Fourth Proportional to 1,661.26, 2,492.16 and 621.22

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Solution

The fourth proportional to 1,661.26, 2,492.16 and 621.22 is: 931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.26 : 2,492.16 = 621.22 : x
  2. Step 2: Convert to fraction form
    1,661.26/2,492.16 = 621.22/x
  3. Step 3: Cross multiply
    1,661.26x = 2,492.16 × 621.22
  4. Step 4: Simplify right side
    1,661.26x = 1,548,179.64
  5. Step 5: Solve for x
    x = 1,548,179.64/1,661.26
  6. Step 6: Final answer
    x = 931.93

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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.