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Finding the Fourth Proportional to 1,689.55, 2,527.63 and 1,585.87

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Solution

The fourth proportional to 1,689.55, 2,527.63 and 1,585.87 is: 2,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.55 : 2,527.63 = 1,585.87 : x
  2. Step 2: Convert to fraction form
    1,689.55/2,527.63 = 1,585.87/x
  3. Step 3: Cross multiply
    1,689.55x = 2,527.63 × 1,585.87
  4. Step 4: Simplify right side
    1,689.55x = 4,008,492.59
  5. Step 5: Solve for x
    x = 4,008,492.59/1,689.55
  6. Step 6: Final answer
    x = 2,372.52

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