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Finding the Fourth Proportional to 1,569.65, 2,348.40 and 1,022.90

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Solution

The fourth proportional to 1,569.65, 2,348.40 and 1,022.90 is: 1,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.65 : 2,348.40 = 1,022.90 : x
  2. Step 2: Convert to fraction form
    1,569.65/2,348.40 = 1,022.90/x
  3. Step 3: Cross multiply
    1,569.65x = 2,348.40 × 1,022.90
  4. Step 4: Simplify right side
    1,569.65x = 2,402,178.36
  5. Step 5: Solve for x
    x = 2,402,178.36/1,569.65
  6. Step 6: Final answer
    x = 1,530.39

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