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Finding the Fourth Proportional to 1,963.71, 2,939.49 and 1,038.15

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Solution

The fourth proportional to 1,963.71, 2,939.49 and 1,038.15 is: 1,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.71 : 2,939.49 = 1,038.15 : x
  2. Step 2: Convert to fraction form
    1,963.71/2,939.49 = 1,038.15/x
  3. Step 3: Cross multiply
    1,963.71x = 2,939.49 × 1,038.15
  4. Step 4: Simplify right side
    1,963.71x = 3,051,631.54
  5. Step 5: Solve for x
    x = 3,051,631.54/1,963.71
  6. Step 6: Final answer
    x = 1,554.01

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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.