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Finding the Fourth Proportional to 1,981.55, 2,970.30 and 1,159.40

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Solution

The fourth proportional to 1,981.55, 2,970.30 and 1,159.40 is: 1,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.55 : 2,970.30 = 1,159.40 : x
  2. Step 2: Convert to fraction form
    1,981.55/2,970.30 = 1,159.40/x
  3. Step 3: Cross multiply
    1,981.55x = 2,970.30 × 1,159.40
  4. Step 4: Simplify right side
    1,981.55x = 3,443,765.82
  5. Step 5: Solve for x
    x = 3,443,765.82/1,981.55
  6. Step 6: Final answer
    x = 1,737.92

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