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Finding the Fourth Proportional to 2,142.96, 2,950.38 and 1,866.84

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Solution

The fourth proportional to 2,142.96, 2,950.38 and 1,866.84 is: 2,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.96 : 2,950.38 = 1,866.84 : x
  2. Step 2: Convert to fraction form
    2,142.96/2,950.38 = 1,866.84/x
  3. Step 3: Cross multiply
    2,142.96x = 2,950.38 × 1,866.84
  4. Step 4: Simplify right side
    2,142.96x = 5,507,887.40
  5. Step 5: Solve for x
    x = 5,507,887.40/2,142.96
  6. Step 6: Final answer
    x = 2,570.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.