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Finding the Fourth Proportional to 1,871.76, 2,582.94 and 1,074.53

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Solution

The fourth proportional to 1,871.76, 2,582.94 and 1,074.53 is: 1,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.76 : 2,582.94 = 1,074.53 : x
  2. Step 2: Convert to fraction form
    1,871.76/2,582.94 = 1,074.53/x
  3. Step 3: Cross multiply
    1,871.76x = 2,582.94 × 1,074.53
  4. Step 4: Simplify right side
    1,871.76x = 2,775,446.52
  5. Step 5: Solve for x
    x = 2,775,446.52/1,871.76
  6. Step 6: Final answer
    x = 1,482.80

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