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Finding the Fourth Proportional to 1,862.60, 2,571.36 and 1,464.53

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Solution

The fourth proportional to 1,862.60, 2,571.36 and 1,464.53 is: 2,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.60 : 2,571.36 = 1,464.53 : x
  2. Step 2: Convert to fraction form
    1,862.60/2,571.36 = 1,464.53/x
  3. Step 3: Cross multiply
    1,862.60x = 2,571.36 × 1,464.53
  4. Step 4: Simplify right side
    1,862.60x = 3,765,821.00
  5. Step 5: Solve for x
    x = 3,765,821.00/1,862.60
  6. Step 6: Final answer
    x = 2,021.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.