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Finding the Fourth Proportional to 2,858.76, 4,286.88 and 1,009.38

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Solution

The fourth proportional to 2,858.76, 4,286.88 and 1,009.38 is: 1,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.76 : 4,286.88 = 1,009.38 : x
  2. Step 2: Convert to fraction form
    2,858.76/4,286.88 = 1,009.38/x
  3. Step 3: Cross multiply
    2,858.76x = 4,286.88 × 1,009.38
  4. Step 4: Simplify right side
    2,858.76x = 4,327,090.93
  5. Step 5: Solve for x
    x = 4,327,090.93/2,858.76
  6. Step 6: Final answer
    x = 1,513.63

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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.