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Finding the Fourth Proportional to 1,588.55, 2,383.16 and 1,298.70

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Solution

The fourth proportional to 1,588.55, 2,383.16 and 1,298.70 is: 1,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.55 : 2,383.16 = 1,298.70 : x
  2. Step 2: Convert to fraction form
    1,588.55/2,383.16 = 1,298.70/x
  3. Step 3: Cross multiply
    1,588.55x = 2,383.16 × 1,298.70
  4. Step 4: Simplify right side
    1,588.55x = 3,095,003.40
  5. Step 5: Solve for x
    x = 3,095,003.40/1,588.55
  6. Step 6: Final answer
    x = 1,948.33

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