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Finding the Fourth Proportional to 1,652.90, 2,297.00 and 1,632.24

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Solution

The fourth proportional to 1,652.90, 2,297.00 and 1,632.24 is: 2,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.90 : 2,297.00 = 1,632.24 : x
  2. Step 2: Convert to fraction form
    1,652.90/2,297.00 = 1,632.24/x
  3. Step 3: Cross multiply
    1,652.90x = 2,297.00 × 1,632.24
  4. Step 4: Simplify right side
    1,652.90x = 3,749,259.36
  5. Step 5: Solve for x
    x = 3,749,259.36/1,652.90
  6. Step 6: Final answer
    x = 2,268.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.