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Finding the Fourth Proportional to 2,145.32, 2,961.80 and 1,674.32

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Solution

The fourth proportional to 2,145.32, 2,961.80 and 1,674.32 is: 2,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.32 : 2,961.80 = 1,674.32 : x
  2. Step 2: Convert to fraction form
    2,145.32/2,961.80 = 1,674.32/x
  3. Step 3: Cross multiply
    2,145.32x = 2,961.80 × 1,674.32
  4. Step 4: Simplify right side
    2,145.32x = 4,959,000.98
  5. Step 5: Solve for x
    x = 4,959,000.98/2,145.32
  6. Step 6: Final answer
    x = 2,311.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.