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Finding the Fourth Proportional to 2,320.07, 3,480.34 and 676.63

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Solution

The fourth proportional to 2,320.07, 3,480.34 and 676.63 is: 1,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.07 : 3,480.34 = 676.63 : x
  2. Step 2: Convert to fraction form
    2,320.07/3,480.34 = 676.63/x
  3. Step 3: Cross multiply
    2,320.07x = 3,480.34 × 676.63
  4. Step 4: Simplify right side
    2,320.07x = 2,354,902.45
  5. Step 5: Solve for x
    x = 2,354,902.45/2,320.07
  6. Step 6: Final answer
    x = 1,015.01

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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.