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Finding the Fourth Proportional to 2,858.51, 4,288.17 and 910.06

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Solution

The fourth proportional to 2,858.51, 4,288.17 and 910.06 is: 1,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.51 : 4,288.17 = 910.06 : x
  2. Step 2: Convert to fraction form
    2,858.51/4,288.17 = 910.06/x
  3. Step 3: Cross multiply
    2,858.51x = 4,288.17 × 910.06
  4. Step 4: Simplify right side
    2,858.51x = 3,902,491.99
  5. Step 5: Solve for x
    x = 3,902,491.99/2,858.51
  6. Step 6: Final answer
    x = 1,365.22

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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.