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Finding the Fourth Proportional to 2,943.63, 4,415.22 and 1,300.23

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Solution

The fourth proportional to 2,943.63, 4,415.22 and 1,300.23 is: 1,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.63 : 4,415.22 = 1,300.23 : x
  2. Step 2: Convert to fraction form
    2,943.63/4,415.22 = 1,300.23/x
  3. Step 3: Cross multiply
    2,943.63x = 4,415.22 × 1,300.23
  4. Step 4: Simplify right side
    2,943.63x = 5,740,801.50
  5. Step 5: Solve for x
    x = 5,740,801.50/2,943.63
  6. Step 6: Final answer
    x = 1,950.25

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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.