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Finding the Fourth Proportional to 2,323.67, 3,482.45 and 2,014.25

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Solution

The fourth proportional to 2,323.67, 3,482.45 and 2,014.25 is: 3,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.67 : 3,482.45 = 2,014.25 : x
  2. Step 2: Convert to fraction form
    2,323.67/3,482.45 = 2,014.25/x
  3. Step 3: Cross multiply
    2,323.67x = 3,482.45 × 2,014.25
  4. Step 4: Simplify right side
    2,323.67x = 7,014,512.54
  5. Step 5: Solve for x
    x = 7,014,512.54/2,323.67
  6. Step 6: Final answer
    x = 3,018.73

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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.