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Finding the Fourth Proportional to 1,883.28, 2,811.16 and 1,744.31

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Solution

The fourth proportional to 1,883.28, 2,811.16 and 1,744.31 is: 2,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.28 : 2,811.16 = 1,744.31 : x
  2. Step 2: Convert to fraction form
    1,883.28/2,811.16 = 1,744.31/x
  3. Step 3: Cross multiply
    1,883.28x = 2,811.16 × 1,744.31
  4. Step 4: Simplify right side
    1,883.28x = 4,903,543.71
  5. Step 5: Solve for x
    x = 4,903,543.71/1,883.28
  6. Step 6: Final answer
    x = 2,603.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.