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Finding the Fourth Proportional to 1,688.55, 2,526.13 and 1,584.87

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Solution

The fourth proportional to 1,688.55, 2,526.13 and 1,584.87 is: 2,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.55 : 2,526.13 = 1,584.87 : x
  2. Step 2: Convert to fraction form
    1,688.55/2,526.13 = 1,584.87/x
  3. Step 3: Cross multiply
    1,688.55x = 2,526.13 × 1,584.87
  4. Step 4: Simplify right side
    1,688.55x = 4,003,587.65
  5. Step 5: Solve for x
    x = 4,003,587.65/1,688.55
  6. Step 6: Final answer
    x = 2,371.02

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