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Finding the Fourth Proportional to 1,605.76, 2,211.18 and 1,569.40

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Solution

The fourth proportional to 1,605.76, 2,211.18 and 1,569.40 is: 2,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.76 : 2,211.18 = 1,569.40 : x
  2. Step 2: Convert to fraction form
    1,605.76/2,211.18 = 1,569.40/x
  3. Step 3: Cross multiply
    1,605.76x = 2,211.18 × 1,569.40
  4. Step 4: Simplify right side
    1,605.76x = 3,470,225.89
  5. Step 5: Solve for x
    x = 3,470,225.89/1,605.76
  6. Step 6: Final answer
    x = 2,161.11

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