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Finding the Fourth Proportional to 1,560.78, 2,341.08 and 586.82

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Solution

The fourth proportional to 1,560.78, 2,341.08 and 586.82 is: 880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.78 : 2,341.08 = 586.82 : x
  2. Step 2: Convert to fraction form
    1,560.78/2,341.08 = 586.82/x
  3. Step 3: Cross multiply
    1,560.78x = 2,341.08 × 586.82
  4. Step 4: Simplify right side
    1,560.78x = 1,373,792.57
  5. Step 5: Solve for x
    x = 1,373,792.57/1,560.78
  6. Step 6: Final answer
    x = 880.20

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