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Finding the Fourth Proportional to 1,302.25, 1,947.54 and 1,156.91

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Solution

The fourth proportional to 1,302.25, 1,947.54 and 1,156.91 is: 1,730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.25 : 1,947.54 = 1,156.91 : x
  2. Step 2: Convert to fraction form
    1,302.25/1,947.54 = 1,156.91/x
  3. Step 3: Cross multiply
    1,302.25x = 1,947.54 × 1,156.91
  4. Step 4: Simplify right side
    1,302.25x = 2,253,128.58
  5. Step 5: Solve for x
    x = 2,253,128.58/1,302.25
  6. Step 6: Final answer
    x = 1,730.18

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