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Finding the Fourth Proportional to 1,602.02, 2,401.67 and 678.30

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Solution

The fourth proportional to 1,602.02, 2,401.67 and 678.30 is: 1,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.02 : 2,401.67 = 678.30 : x
  2. Step 2: Convert to fraction form
    1,602.02/2,401.67 = 678.30/x
  3. Step 3: Cross multiply
    1,602.02x = 2,401.67 × 678.30
  4. Step 4: Simplify right side
    1,602.02x = 1,629,052.76
  5. Step 5: Solve for x
    x = 1,629,052.76/1,602.02
  6. Step 6: Final answer
    x = 1,016.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.