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Finding the Fourth Proportional to 2,603.67, 3,905.51 and 960.30

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Solution

The fourth proportional to 2,603.67, 3,905.51 and 960.30 is: 1,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.67 : 3,905.51 = 960.30 : x
  2. Step 2: Convert to fraction form
    2,603.67/3,905.51 = 960.30/x
  3. Step 3: Cross multiply
    2,603.67x = 3,905.51 × 960.30
  4. Step 4: Simplify right side
    2,603.67x = 3,750,461.25
  5. Step 5: Solve for x
    x = 3,750,461.25/2,603.67
  6. Step 6: Final answer
    x = 1,440.45

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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.