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Finding the Fourth Proportional to 2,858.04, 4,286.70 and 1,009.22

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Solution

The fourth proportional to 2,858.04, 4,286.70 and 1,009.22 is: 1,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.04 : 4,286.70 = 1,009.22 : x
  2. Step 2: Convert to fraction form
    2,858.04/4,286.70 = 1,009.22/x
  3. Step 3: Cross multiply
    2,858.04x = 4,286.70 × 1,009.22
  4. Step 4: Simplify right side
    2,858.04x = 4,326,201.94
  5. Step 5: Solve for x
    x = 4,326,201.94/2,858.04
  6. Step 6: Final answer
    x = 1,513.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.