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Finding the Fourth Proportional to 1,390.76, 2,090.46 and 1,007.72

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Solution

The fourth proportional to 1,390.76, 2,090.46 and 1,007.72 is: 1,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.76 : 2,090.46 = 1,007.72 : x
  2. Step 2: Convert to fraction form
    1,390.76/2,090.46 = 1,007.72/x
  3. Step 3: Cross multiply
    1,390.76x = 2,090.46 × 1,007.72
  4. Step 4: Simplify right side
    1,390.76x = 2,106,598.35
  5. Step 5: Solve for x
    x = 2,106,598.35/1,390.76
  6. Step 6: Final answer
    x = 1,514.71

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