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Finding the Fourth Proportional to 1,938.56, 2,907.38 and 689.06

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Solution

The fourth proportional to 1,938.56, 2,907.38 and 689.06 is: 1,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.56 : 2,907.38 = 689.06 : x
  2. Step 2: Convert to fraction form
    1,938.56/2,907.38 = 689.06/x
  3. Step 3: Cross multiply
    1,938.56x = 2,907.38 × 689.06
  4. Step 4: Simplify right side
    1,938.56x = 2,003,341.28
  5. Step 5: Solve for x
    x = 2,003,341.28/1,938.56
  6. Step 6: Final answer
    x = 1,033.42

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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.