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Finding the Fourth Proportional to 1,689.76, 2,532.93 and 1,140.58

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Solution

The fourth proportional to 1,689.76, 2,532.93 and 1,140.58 is: 1,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.76 : 2,532.93 = 1,140.58 : x
  2. Step 2: Convert to fraction form
    1,689.76/2,532.93 = 1,140.58/x
  3. Step 3: Cross multiply
    1,689.76x = 2,532.93 × 1,140.58
  4. Step 4: Simplify right side
    1,689.76x = 2,889,009.30
  5. Step 5: Solve for x
    x = 2,889,009.30/1,689.76
  6. Step 6: Final answer
    x = 1,709.72

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