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Finding the Fourth Proportional to 3,114.57, 4,670.46 and 922.53

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Solution

The fourth proportional to 3,114.57, 4,670.46 and 922.53 is: 1,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.57 : 4,670.46 = 922.53 : x
  2. Step 2: Convert to fraction form
    3,114.57/4,670.46 = 922.53/x
  3. Step 3: Cross multiply
    3,114.57x = 4,670.46 × 922.53
  4. Step 4: Simplify right side
    3,114.57x = 4,308,639.46
  5. Step 5: Solve for x
    x = 4,308,639.46/3,114.57
  6. Step 6: Final answer
    x = 1,383.38

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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.