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Finding the Fourth Proportional to 1,407.48, 2,109.36 and 1,018.78

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Solution

The fourth proportional to 1,407.48, 2,109.36 and 1,018.78 is: 1,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.48 : 2,109.36 = 1,018.78 : x
  2. Step 2: Convert to fraction form
    1,407.48/2,109.36 = 1,018.78/x
  3. Step 3: Cross multiply
    1,407.48x = 2,109.36 × 1,018.78
  4. Step 4: Simplify right side
    1,407.48x = 2,148,973.78
  5. Step 5: Solve for x
    x = 2,148,973.78/1,407.48
  6. Step 6: Final answer
    x = 1,526.82

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