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Finding the Fourth Proportional to 1,551.22, 2,321.02 and 924.23

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Solution

The fourth proportional to 1,551.22, 2,321.02 and 924.23 is: 1,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.22 : 2,321.02 = 924.23 : x
  2. Step 2: Convert to fraction form
    1,551.22/2,321.02 = 924.23/x
  3. Step 3: Cross multiply
    1,551.22x = 2,321.02 × 924.23
  4. Step 4: Simplify right side
    1,551.22x = 2,145,156.31
  5. Step 5: Solve for x
    x = 2,145,156.31/1,551.22
  6. Step 6: Final answer
    x = 1,382.88

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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.