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Finding the Fourth Proportional to 1,600.46, 2,401.01 and 676.01

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Solution

The fourth proportional to 1,600.46, 2,401.01 and 676.01 is: 1,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.46 : 2,401.01 = 676.01 : x
  2. Step 2: Convert to fraction form
    1,600.46/2,401.01 = 676.01/x
  3. Step 3: Cross multiply
    1,600.46x = 2,401.01 × 676.01
  4. Step 4: Simplify right side
    1,600.46x = 1,623,111.93
  5. Step 5: Solve for x
    x = 1,623,111.93/1,600.46
  6. Step 6: Final answer
    x = 1,014.15

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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.