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Finding the Fourth Proportional to 1,747.44, 2,411.28 and 1,038.96

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Solution

The fourth proportional to 1,747.44, 2,411.28 and 1,038.96 is: 1,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.44 : 2,411.28 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    1,747.44/2,411.28 = 1,038.96/x
  3. Step 3: Cross multiply
    1,747.44x = 2,411.28 × 1,038.96
  4. Step 4: Simplify right side
    1,747.44x = 2,505,223.47
  5. Step 5: Solve for x
    x = 2,505,223.47/1,747.44
  6. Step 6: Final answer
    x = 1,433.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.