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Finding the Fourth Proportional to 1,685.21, 2,528.04 and 1,582.69

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Solution

The fourth proportional to 1,685.21, 2,528.04 and 1,582.69 is: 2,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.21 : 2,528.04 = 1,582.69 : x
  2. Step 2: Convert to fraction form
    1,685.21/2,528.04 = 1,582.69/x
  3. Step 3: Cross multiply
    1,685.21x = 2,528.04 × 1,582.69
  4. Step 4: Simplify right side
    1,685.21x = 4,001,094.63
  5. Step 5: Solve for x
    x = 4,001,094.63/1,685.21
  6. Step 6: Final answer
    x = 2,374.25

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