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Finding the Fourth Proportional to 1,569.80, 2,354.70 and 1,509.05

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Solution

The fourth proportional to 1,569.80, 2,354.70 and 1,509.05 is: 2,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.80 : 2,354.70 = 1,509.05 : x
  2. Step 2: Convert to fraction form
    1,569.80/2,354.70 = 1,509.05/x
  3. Step 3: Cross multiply
    1,569.80x = 2,354.70 × 1,509.05
  4. Step 4: Simplify right side
    1,569.80x = 3,553,360.04
  5. Step 5: Solve for x
    x = 3,553,360.04/1,569.80
  6. Step 6: Final answer
    x = 2,263.58

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