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Finding the Fourth Proportional to 1,722.37, 2,380.37 and 1,302.58

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Solution

The fourth proportional to 1,722.37, 2,380.37 and 1,302.58 is: 1,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.37 : 2,380.37 = 1,302.58 : x
  2. Step 2: Convert to fraction form
    1,722.37/2,380.37 = 1,302.58/x
  3. Step 3: Cross multiply
    1,722.37x = 2,380.37 × 1,302.58
  4. Step 4: Simplify right side
    1,722.37x = 3,100,603.94
  5. Step 5: Solve for x
    x = 3,100,603.94/1,722.37
  6. Step 6: Final answer
    x = 1,800.20

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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.