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Finding the Fourth Proportional to 2,840.75, 4,262 and 1,455.06

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Solution

The fourth proportional to 2,840.75, 4,262 and 1,455.06 is: 2,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.75 : 4,262 = 1,455.06 : x
  2. Step 2: Convert to fraction form
    2,840.75/4,262 = 1,455.06/x
  3. Step 3: Cross multiply
    2,840.75x = 4,262 × 1,455.06
  4. Step 4: Simplify right side
    2,840.75x = 6,201,465.72
  5. Step 5: Solve for x
    x = 6,201,465.72/2,840.75
  6. Step 6: Final answer
    x = 2,183.04

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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.