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Finding the Fourth Proportional to 2,302.94, 3,454.43 and 571.58

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Solution

The fourth proportional to 2,302.94, 3,454.43 and 571.58 is: 857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.94 : 3,454.43 = 571.58 : x
  2. Step 2: Convert to fraction form
    2,302.94/3,454.43 = 571.58/x
  3. Step 3: Cross multiply
    2,302.94x = 3,454.43 × 571.58
  4. Step 4: Simplify right side
    2,302.94x = 1,974,480.24
  5. Step 5: Solve for x
    x = 1,974,480.24/2,302.94
  6. Step 6: Final answer
    x = 857.37

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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.