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Finding the Fourth Proportional to 2,319.37, 3,476.93 and 858.13

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Solution

The fourth proportional to 2,319.37, 3,476.93 and 858.13 is: 1,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.37 : 3,476.93 = 858.13 : x
  2. Step 2: Convert to fraction form
    2,319.37/3,476.93 = 858.13/x
  3. Step 3: Cross multiply
    2,319.37x = 3,476.93 × 858.13
  4. Step 4: Simplify right side
    2,319.37x = 2,983,644.96
  5. Step 5: Solve for x
    x = 2,983,644.96/2,319.37
  6. Step 6: Final answer
    x = 1,286.40

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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.