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Finding the Fourth Proportional to 1,584.65, 2,376.90 and 1,547.57

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Solution

The fourth proportional to 1,584.65, 2,376.90 and 1,547.57 is: 2,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.65 : 2,376.90 = 1,547.57 : x
  2. Step 2: Convert to fraction form
    1,584.65/2,376.90 = 1,547.57/x
  3. Step 3: Cross multiply
    1,584.65x = 2,376.90 × 1,547.57
  4. Step 4: Simplify right side
    1,584.65x = 3,678,407.25
  5. Step 5: Solve for x
    x = 3,678,407.25/1,584.65
  6. Step 6: Final answer
    x = 2,321.28

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