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Finding the Fourth Proportional to 1,923.52, 2,638.16 and 1,900.80

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Solution

The fourth proportional to 1,923.52, 2,638.16 and 1,900.80 is: 2,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.52 : 2,638.16 = 1,900.80 : x
  2. Step 2: Convert to fraction form
    1,923.52/2,638.16 = 1,900.80/x
  3. Step 3: Cross multiply
    1,923.52x = 2,638.16 × 1,900.80
  4. Step 4: Simplify right side
    1,923.52x = 5,014,614.53
  5. Step 5: Solve for x
    x = 5,014,614.53/1,923.52
  6. Step 6: Final answer
    x = 2,607.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.