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Finding the Fourth Proportional to 1,232.84, 1,847.16 and 1,077.05

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Solution

The fourth proportional to 1,232.84, 1,847.16 and 1,077.05 is: 1,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.84 : 1,847.16 = 1,077.05 : x
  2. Step 2: Convert to fraction form
    1,232.84/1,847.16 = 1,077.05/x
  3. Step 3: Cross multiply
    1,232.84x = 1,847.16 × 1,077.05
  4. Step 4: Simplify right side
    1,232.84x = 1,989,474.44
  5. Step 5: Solve for x
    x = 1,989,474.44/1,232.84
  6. Step 6: Final answer
    x = 1,613.74

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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.