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Finding the Fourth Proportional to 2,131.47, 2,935.22 and 1,878.12

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Solution

The fourth proportional to 2,131.47, 2,935.22 and 1,878.12 is: 2,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.47 : 2,935.22 = 1,878.12 : x
  2. Step 2: Convert to fraction form
    2,131.47/2,935.22 = 1,878.12/x
  3. Step 3: Cross multiply
    2,131.47x = 2,935.22 × 1,878.12
  4. Step 4: Simplify right side
    2,131.47x = 5,512,686.00
  5. Step 5: Solve for x
    x = 5,512,686.00/2,131.47
  6. Step 6: Final answer
    x = 2,586.33

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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.