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Finding the Fourth Proportional to 2,553.51, 3,830.57 and 910.29

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Solution

The fourth proportional to 2,553.51, 3,830.57 and 910.29 is: 1,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.51 : 3,830.57 = 910.29 : x
  2. Step 2: Convert to fraction form
    2,553.51/3,830.57 = 910.29/x
  3. Step 3: Cross multiply
    2,553.51x = 3,830.57 × 910.29
  4. Step 4: Simplify right side
    2,553.51x = 3,486,925.01
  5. Step 5: Solve for x
    x = 3,486,925.01/2,553.51
  6. Step 6: Final answer
    x = 1,365.54

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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.