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Finding the Fourth Proportional to 1,972.98, 2,722.32 and 1,133.52

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Solution

The fourth proportional to 1,972.98, 2,722.32 and 1,133.52 is: 1,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.98 : 2,722.32 = 1,133.52 : x
  2. Step 2: Convert to fraction form
    1,972.98/2,722.32 = 1,133.52/x
  3. Step 3: Cross multiply
    1,972.98x = 2,722.32 × 1,133.52
  4. Step 4: Simplify right side
    1,972.98x = 3,085,804.17
  5. Step 5: Solve for x
    x = 3,085,804.17/1,972.98
  6. Step 6: Final answer
    x = 1,564.03

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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.