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Finding the Fourth Proportional to 1,676.21, 2,512.28 and 1,210.76

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Solution

The fourth proportional to 1,676.21, 2,512.28 and 1,210.76 is: 1,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.21 : 2,512.28 = 1,210.76 : x
  2. Step 2: Convert to fraction form
    1,676.21/2,512.28 = 1,210.76/x
  3. Step 3: Cross multiply
    1,676.21x = 2,512.28 × 1,210.76
  4. Step 4: Simplify right side
    1,676.21x = 3,041,768.02
  5. Step 5: Solve for x
    x = 3,041,768.02/1,676.21
  6. Step 6: Final answer
    x = 1,814.68

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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.