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Finding the Fourth Proportional to 1,551.31, 2,327.90 and 894.02

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Solution

The fourth proportional to 1,551.31, 2,327.90 and 894.02 is: 1,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.31 : 2,327.90 = 894.02 : x
  2. Step 2: Convert to fraction form
    1,551.31/2,327.90 = 894.02/x
  3. Step 3: Cross multiply
    1,551.31x = 2,327.90 × 894.02
  4. Step 4: Simplify right side
    1,551.31x = 2,081,173.05
  5. Step 5: Solve for x
    x = 2,081,173.05/1,551.31
  6. Step 6: Final answer
    x = 1,341.56

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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.