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Finding the Fourth Proportional to 2,938.62, 4,406.04 and 1,295.94

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Solution

The fourth proportional to 2,938.62, 4,406.04 and 1,295.94 is: 1,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.62 : 4,406.04 = 1,295.94 : x
  2. Step 2: Convert to fraction form
    2,938.62/4,406.04 = 1,295.94/x
  3. Step 3: Cross multiply
    2,938.62x = 4,406.04 × 1,295.94
  4. Step 4: Simplify right side
    2,938.62x = 5,709,963.48
  5. Step 5: Solve for x
    x = 5,709,963.48/2,938.62
  6. Step 6: Final answer
    x = 1,943.08

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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.