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Finding the Fourth Proportional to 1,865.16, 2,572.74 and 1,422.12

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Solution

The fourth proportional to 1,865.16, 2,572.74 and 1,422.12 is: 1,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.16 : 2,572.74 = 1,422.12 : x
  2. Step 2: Convert to fraction form
    1,865.16/2,572.74 = 1,422.12/x
  3. Step 3: Cross multiply
    1,865.16x = 2,572.74 × 1,422.12
  4. Step 4: Simplify right side
    1,865.16x = 3,658,745.01
  5. Step 5: Solve for x
    x = 3,658,745.01/1,865.16
  6. Step 6: Final answer
    x = 1,961.63

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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.