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Finding the Fourth Proportional to 2,974.63, 4,462.00 and 783.28

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Solution

The fourth proportional to 2,974.63, 4,462.00 and 783.28 is: 1,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.63 : 4,462.00 = 783.28 : x
  2. Step 2: Convert to fraction form
    2,974.63/4,462.00 = 783.28/x
  3. Step 3: Cross multiply
    2,974.63x = 4,462.00 × 783.28
  4. Step 4: Simplify right side
    2,974.63x = 3,494,969.13
  5. Step 5: Solve for x
    x = 3,494,969.13/2,974.63
  6. Step 6: Final answer
    x = 1,174.93

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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.