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Finding the Fourth Proportional to 2,321.95, 3,482.94 and 679.64

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Solution

The fourth proportional to 2,321.95, 3,482.94 and 679.64 is: 1,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.95 : 3,482.94 = 679.64 : x
  2. Step 2: Convert to fraction form
    2,321.95/3,482.94 = 679.64/x
  3. Step 3: Cross multiply
    2,321.95x = 3,482.94 × 679.64
  4. Step 4: Simplify right side
    2,321.95x = 2,367,145.34
  5. Step 5: Solve for x
    x = 2,367,145.34/2,321.95
  6. Step 6: Final answer
    x = 1,019.46

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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.