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Finding the Fourth Proportional to 1,888.64, 2,835.40 and 1,456.08

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Solution

The fourth proportional to 1,888.64, 2,835.40 and 1,456.08 is: 2,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.64 : 2,835.40 = 1,456.08 : x
  2. Step 2: Convert to fraction form
    1,888.64/2,835.40 = 1,456.08/x
  3. Step 3: Cross multiply
    1,888.64x = 2,835.40 × 1,456.08
  4. Step 4: Simplify right side
    1,888.64x = 4,128,569.23
  5. Step 5: Solve for x
    x = 4,128,569.23/1,888.64
  6. Step 6: Final answer
    x = 2,186.00

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