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Finding the Fourth Proportional to 1,857.30, 2,784.12 and 1,307.76

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Solution

The fourth proportional to 1,857.30, 2,784.12 and 1,307.76 is: 1,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.30 : 2,784.12 = 1,307.76 : x
  2. Step 2: Convert to fraction form
    1,857.30/2,784.12 = 1,307.76/x
  3. Step 3: Cross multiply
    1,857.30x = 2,784.12 × 1,307.76
  4. Step 4: Simplify right side
    1,857.30x = 3,640,960.77
  5. Step 5: Solve for x
    x = 3,640,960.77/1,857.30
  6. Step 6: Final answer
    x = 1,960.35

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