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Finding the Fourth Proportional to 1,888.44, 2,828.96 and 1,237.20

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Solution

The fourth proportional to 1,888.44, 2,828.96 and 1,237.20 is: 1,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.44 : 2,828.96 = 1,237.20 : x
  2. Step 2: Convert to fraction form
    1,888.44/2,828.96 = 1,237.20/x
  3. Step 3: Cross multiply
    1,888.44x = 2,828.96 × 1,237.20
  4. Step 4: Simplify right side
    1,888.44x = 3,499,989.31
  5. Step 5: Solve for x
    x = 3,499,989.31/1,888.44
  6. Step 6: Final answer
    x = 1,853.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.