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Finding the Fourth Proportional to 1,552.40, 2,141.96 and 888.88

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Solution

The fourth proportional to 1,552.40, 2,141.96 and 888.88 is: 1,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.40 : 2,141.96 = 888.88 : x
  2. Step 2: Convert to fraction form
    1,552.40/2,141.96 = 888.88/x
  3. Step 3: Cross multiply
    1,552.40x = 2,141.96 × 888.88
  4. Step 4: Simplify right side
    1,552.40x = 1,903,945.40
  5. Step 5: Solve for x
    x = 1,903,945.40/1,552.40
  6. Step 6: Final answer
    x = 1,226.45

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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.