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Finding the Fourth Proportional to 2,954.96, 4,431.20 and 1,007.28

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Solution

The fourth proportional to 2,954.96, 4,431.20 and 1,007.28 is: 1,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.96 : 4,431.20 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    2,954.96/4,431.20 = 1,007.28/x
  3. Step 3: Cross multiply
    2,954.96x = 4,431.20 × 1,007.28
  4. Step 4: Simplify right side
    2,954.96x = 4,463,459.14
  5. Step 5: Solve for x
    x = 4,463,459.14/2,954.96
  6. Step 6: Final answer
    x = 1,510.50

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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.