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Finding the Fourth Proportional to 1,764.78, 2,432.52 and 1,537.08

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Solution

The fourth proportional to 1,764.78, 2,432.52 and 1,537.08 is: 2,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.78 : 2,432.52 = 1,537.08 : x
  2. Step 2: Convert to fraction form
    1,764.78/2,432.52 = 1,537.08/x
  3. Step 3: Cross multiply
    1,764.78x = 2,432.52 × 1,537.08
  4. Step 4: Simplify right side
    1,764.78x = 3,738,977.84
  5. Step 5: Solve for x
    x = 3,738,977.84/1,764.78
  6. Step 6: Final answer
    x = 2,118.67

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