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Finding the Fourth Proportional to 3,114.53, 4,671.00 and 922.74

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Solution

The fourth proportional to 3,114.53, 4,671.00 and 922.74 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.53 : 4,671.00 = 922.74 : x
  2. Step 2: Convert to fraction form
    3,114.53/4,671.00 = 922.74/x
  3. Step 3: Cross multiply
    3,114.53x = 4,671.00 × 922.74
  4. Step 4: Simplify right side
    3,114.53x = 4,310,137.84
  5. Step 5: Solve for x
    x = 4,310,137.84/3,114.53
  6. Step 6: Final answer
    x = 1,383.88

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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.