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Finding the Fourth Proportional to 1,569.84, 2,166.50 and 1,046.76

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Solution

The fourth proportional to 1,569.84, 2,166.50 and 1,046.76 is: 1,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.84 : 2,166.50 = 1,046.76 : x
  2. Step 2: Convert to fraction form
    1,569.84/2,166.50 = 1,046.76/x
  3. Step 3: Cross multiply
    1,569.84x = 2,166.50 × 1,046.76
  4. Step 4: Simplify right side
    1,569.84x = 2,267,805.54
  5. Step 5: Solve for x
    x = 2,267,805.54/1,569.84
  6. Step 6: Final answer
    x = 1,444.61

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