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Finding the Fourth Proportional to 2,600.76, 3,902.36 and 1,506.05

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Solution

The fourth proportional to 2,600.76, 3,902.36 and 1,506.05 is: 2,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.76 : 3,902.36 = 1,506.05 : x
  2. Step 2: Convert to fraction form
    2,600.76/3,902.36 = 1,506.05/x
  3. Step 3: Cross multiply
    2,600.76x = 3,902.36 × 1,506.05
  4. Step 4: Simplify right side
    2,600.76x = 5,877,122.24
  5. Step 5: Solve for x
    x = 5,877,122.24/2,600.76
  6. Step 6: Final answer
    x = 2,259.77

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