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Finding the Fourth Proportional to 3,007.14, 4,512.54 and 1,364.46

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Solution

The fourth proportional to 3,007.14, 4,512.54 and 1,364.46 is: 2,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.14 : 4,512.54 = 1,364.46 : x
  2. Step 2: Convert to fraction form
    3,007.14/4,512.54 = 1,364.46/x
  3. Step 3: Cross multiply
    3,007.14x = 4,512.54 × 1,364.46
  4. Step 4: Simplify right side
    3,007.14x = 6,157,180.33
  5. Step 5: Solve for x
    x = 6,157,180.33/3,007.14
  6. Step 6: Final answer
    x = 2,047.52

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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.