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Finding the Fourth Proportional to 2,954.83, 4,432.93 and 1,007.03

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Solution

The fourth proportional to 2,954.83, 4,432.93 and 1,007.03 is: 1,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.83 : 4,432.93 = 1,007.03 : x
  2. Step 2: Convert to fraction form
    2,954.83/4,432.93 = 1,007.03/x
  3. Step 3: Cross multiply
    2,954.83x = 4,432.93 × 1,007.03
  4. Step 4: Simplify right side
    2,954.83x = 4,464,093.50
  5. Step 5: Solve for x
    x = 4,464,093.50/2,954.83
  6. Step 6: Final answer
    x = 1,510.78

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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.