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Finding the Fourth Proportional to 2,973.72, 4,463.21 and 1,513.70

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Solution

The fourth proportional to 2,973.72, 4,463.21 and 1,513.70 is: 2,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.72 : 4,463.21 = 1,513.70 : x
  2. Step 2: Convert to fraction form
    2,973.72/4,463.21 = 1,513.70/x
  3. Step 3: Cross multiply
    2,973.72x = 4,463.21 × 1,513.70
  4. Step 4: Simplify right side
    2,973.72x = 6,755,942.45
  5. Step 5: Solve for x
    x = 6,755,942.45/2,973.72
  6. Step 6: Final answer
    x = 2,271.88

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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.