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Finding the Fourth Proportional to 1,549.34, 2,324.82 and 847.05

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Solution

The fourth proportional to 1,549.34, 2,324.82 and 847.05 is: 1,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.34 : 2,324.82 = 847.05 : x
  2. Step 2: Convert to fraction form
    1,549.34/2,324.82 = 847.05/x
  3. Step 3: Cross multiply
    1,549.34x = 2,324.82 × 847.05
  4. Step 4: Simplify right side
    1,549.34x = 1,969,238.78
  5. Step 5: Solve for x
    x = 1,969,238.78/1,549.34
  6. Step 6: Final answer
    x = 1,271.02

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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.