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Finding the Fourth Proportional to 1,972.50, 2,722.29 and 1,133.40

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Solution

The fourth proportional to 1,972.50, 2,722.29 and 1,133.40 is: 1,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.50 : 2,722.29 = 1,133.40 : x
  2. Step 2: Convert to fraction form
    1,972.50/2,722.29 = 1,133.40/x
  3. Step 3: Cross multiply
    1,972.50x = 2,722.29 × 1,133.40
  4. Step 4: Simplify right side
    1,972.50x = 3,085,443.49
  5. Step 5: Solve for x
    x = 3,085,443.49/1,972.50
  6. Step 6: Final answer
    x = 1,564.23

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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.