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Finding the Fourth Proportional to 2,554.29, 3,830.49 and 910.53

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Solution

The fourth proportional to 2,554.29, 3,830.49 and 910.53 is: 1,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.29 : 3,830.49 = 910.53 : x
  2. Step 2: Convert to fraction form
    2,554.29/3,830.49 = 910.53/x
  3. Step 3: Cross multiply
    2,554.29x = 3,830.49 × 910.53
  4. Step 4: Simplify right side
    2,554.29x = 3,487,776.06
  5. Step 5: Solve for x
    x = 3,487,776.06/2,554.29
  6. Step 6: Final answer
    x = 1,365.46

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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.