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Finding the Fourth Proportional to 2,807.34, 4,213.60 and 1,421.64

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Solution

The fourth proportional to 2,807.34, 4,213.60 and 1,421.64 is: 2,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.34 : 4,213.60 = 1,421.64 : x
  2. Step 2: Convert to fraction form
    2,807.34/4,213.60 = 1,421.64/x
  3. Step 3: Cross multiply
    2,807.34x = 4,213.60 × 1,421.64
  4. Step 4: Simplify right side
    2,807.34x = 5,990,244.49
  5. Step 5: Solve for x
    x = 5,990,244.49/2,807.34
  6. Step 6: Final answer
    x = 2,133.78

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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.