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Finding the Fourth Proportional to 1,709.10, 2,566.68 and 1,438.74

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Solution

The fourth proportional to 1,709.10, 2,566.68 and 1,438.74 is: 2,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.10 : 2,566.68 = 1,438.74 : x
  2. Step 2: Convert to fraction form
    1,709.10/2,566.68 = 1,438.74/x
  3. Step 3: Cross multiply
    1,709.10x = 2,566.68 × 1,438.74
  4. Step 4: Simplify right side
    1,709.10x = 3,692,785.18
  5. Step 5: Solve for x
    x = 3,692,785.18/1,709.10
  6. Step 6: Final answer
    x = 2,160.66

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