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Finding the Fourth Proportional to 1,606.23, 2,404.78 and 1,056.76

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Solution

The fourth proportional to 1,606.23, 2,404.78 and 1,056.76 is: 1,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.23 : 2,404.78 = 1,056.76 : x
  2. Step 2: Convert to fraction form
    1,606.23/2,404.78 = 1,056.76/x
  3. Step 3: Cross multiply
    1,606.23x = 2,404.78 × 1,056.76
  4. Step 4: Simplify right side
    1,606.23x = 2,541,275.31
  5. Step 5: Solve for x
    x = 2,541,275.31/1,606.23
  6. Step 6: Final answer
    x = 1,582.14

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