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Finding the Fourth Proportional to 1,569.90, 2,354.85 and 1,205.40

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Solution

The fourth proportional to 1,569.90, 2,354.85 and 1,205.40 is: 1,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.90 : 2,354.85 = 1,205.40 : x
  2. Step 2: Convert to fraction form
    1,569.90/2,354.85 = 1,205.40/x
  3. Step 3: Cross multiply
    1,569.90x = 2,354.85 × 1,205.40
  4. Step 4: Simplify right side
    1,569.90x = 2,838,536.19
  5. Step 5: Solve for x
    x = 2,838,536.19/1,569.90
  6. Step 6: Final answer
    x = 1,808.10

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