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Finding the Fourth Proportional to 1,938.72, 2,908.08 and 913.44

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Solution

The fourth proportional to 1,938.72, 2,908.08 and 913.44 is: 1,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.72 : 2,908.08 = 913.44 : x
  2. Step 2: Convert to fraction form
    1,938.72/2,908.08 = 913.44/x
  3. Step 3: Cross multiply
    1,938.72x = 2,908.08 × 913.44
  4. Step 4: Simplify right side
    1,938.72x = 2,656,356.60
  5. Step 5: Solve for x
    x = 2,656,356.60/1,938.72
  6. Step 6: Final answer
    x = 1,370.16

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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.