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Finding the Fourth Proportional to 2,858.93, 4,286.35 and 1,298.15

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Solution

The fourth proportional to 2,858.93, 4,286.35 and 1,298.15 is: 1,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.93 : 4,286.35 = 1,298.15 : x
  2. Step 2: Convert to fraction form
    2,858.93/4,286.35 = 1,298.15/x
  3. Step 3: Cross multiply
    2,858.93x = 4,286.35 × 1,298.15
  4. Step 4: Simplify right side
    2,858.93x = 5,564,318.76
  5. Step 5: Solve for x
    x = 5,564,318.76/2,858.93
  6. Step 6: Final answer
    x = 1,946.29

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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.