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Finding the Fourth Proportional to 1,881.90, 2,592 and 1,633.23

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Solution

The fourth proportional to 1,881.90, 2,592 and 1,633.23 is: 2,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.90 : 2,592 = 1,633.23 : x
  2. Step 2: Convert to fraction form
    1,881.90/2,592 = 1,633.23/x
  3. Step 3: Cross multiply
    1,881.90x = 2,592 × 1,633.23
  4. Step 4: Simplify right side
    1,881.90x = 4,233,332.16
  5. Step 5: Solve for x
    x = 4,233,332.16/1,881.90
  6. Step 6: Final answer
    x = 2,249.50

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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.