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Finding the Fourth Proportional to 1,938.33, 2,907.61 and 532.96

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Solution

The fourth proportional to 1,938.33, 2,907.61 and 532.96 is: 799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.33 : 2,907.61 = 532.96 : x
  2. Step 2: Convert to fraction form
    1,938.33/2,907.61 = 532.96/x
  3. Step 3: Cross multiply
    1,938.33x = 2,907.61 × 532.96
  4. Step 4: Simplify right side
    1,938.33x = 1,549,631.22
  5. Step 5: Solve for x
    x = 1,549,631.22/1,938.33
  6. Step 6: Final answer
    x = 799.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.