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Finding the Fourth Proportional to 1,705.86, 2,558.85 and 1,124.58

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Solution

The fourth proportional to 1,705.86, 2,558.85 and 1,124.58 is: 1,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.86 : 2,558.85 = 1,124.58 : x
  2. Step 2: Convert to fraction form
    1,705.86/2,558.85 = 1,124.58/x
  3. Step 3: Cross multiply
    1,705.86x = 2,558.85 × 1,124.58
  4. Step 4: Simplify right side
    1,705.86x = 2,877,631.53
  5. Step 5: Solve for x
    x = 2,877,631.53/1,705.86
  6. Step 6: Final answer
    x = 1,686.91

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