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Finding the Fourth Proportional to 1,354.90, 2,032.41 and 381.07

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Solution

The fourth proportional to 1,354.90, 2,032.41 and 381.07 is: 571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.90 : 2,032.41 = 381.07 : x
  2. Step 2: Convert to fraction form
    1,354.90/2,032.41 = 381.07/x
  3. Step 3: Cross multiply
    1,354.90x = 2,032.41 × 381.07
  4. Step 4: Simplify right side
    1,354.90x = 774,490.48
  5. Step 5: Solve for x
    x = 774,490.48/1,354.90
  6. Step 6: Final answer
    x = 571.62

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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.