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Finding the Fourth Proportional to 2,603.57, 3,905.34 and 1,305.02

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Solution

The fourth proportional to 2,603.57, 3,905.34 and 1,305.02 is: 1,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.57 : 3,905.34 = 1,305.02 : x
  2. Step 2: Convert to fraction form
    2,603.57/3,905.34 = 1,305.02/x
  3. Step 3: Cross multiply
    2,603.57x = 3,905.34 × 1,305.02
  4. Step 4: Simplify right side
    2,603.57x = 5,096,546.81
  5. Step 5: Solve for x
    x = 5,096,546.81/2,603.57
  6. Step 6: Final answer
    x = 1,957.52

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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.