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Finding the Fourth Proportional to 1,534.22, 2,299.89 and 848.78

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Solution

The fourth proportional to 1,534.22, 2,299.89 and 848.78 is: 1,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.22 : 2,299.89 = 848.78 : x
  2. Step 2: Convert to fraction form
    1,534.22/2,299.89 = 848.78/x
  3. Step 3: Cross multiply
    1,534.22x = 2,299.89 × 848.78
  4. Step 4: Simplify right side
    1,534.22x = 1,952,100.63
  5. Step 5: Solve for x
    x = 1,952,100.63/1,534.22
  6. Step 6: Final answer
    x = 1,272.37

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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.