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Finding the Fourth Proportional to 1,938.62, 2,907.92 and 477.77

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Solution

The fourth proportional to 1,938.62, 2,907.92 and 477.77 is: 716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.62 : 2,907.92 = 477.77 : x
  2. Step 2: Convert to fraction form
    1,938.62/2,907.92 = 477.77/x
  3. Step 3: Cross multiply
    1,938.62x = 2,907.92 × 477.77
  4. Step 4: Simplify right side
    1,938.62x = 1,389,303.59
  5. Step 5: Solve for x
    x = 1,389,303.59/1,938.62
  6. Step 6: Final answer
    x = 716.64

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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.