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Finding the Fourth Proportional to 2,032.43, 3,044.99 and 1,923.08

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Solution

The fourth proportional to 2,032.43, 3,044.99 and 1,923.08 is: 2,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.43 : 3,044.99 = 1,923.08 : x
  2. Step 2: Convert to fraction form
    2,032.43/3,044.99 = 1,923.08/x
  3. Step 3: Cross multiply
    2,032.43x = 3,044.99 × 1,923.08
  4. Step 4: Simplify right side
    2,032.43x = 5,855,748.95
  5. Step 5: Solve for x
    x = 5,855,748.95/2,032.43
  6. Step 6: Final answer
    x = 2,881.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.