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Finding the Fourth Proportional to 1,561.54, 2,342.29 and 636.90

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Solution

The fourth proportional to 1,561.54, 2,342.29 and 636.90 is: 955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.54 : 2,342.29 = 636.90 : x
  2. Step 2: Convert to fraction form
    1,561.54/2,342.29 = 636.90/x
  3. Step 3: Cross multiply
    1,561.54x = 2,342.29 × 636.90
  4. Step 4: Simplify right side
    1,561.54x = 1,491,804.50
  5. Step 5: Solve for x
    x = 1,491,804.50/1,561.54
  6. Step 6: Final answer
    x = 955.34

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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.