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Finding the Fourth Proportional to 1,548.89, 2,322.51 and 890.63

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Solution

The fourth proportional to 1,548.89, 2,322.51 and 890.63 is: 1,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.89 : 2,322.51 = 890.63 : x
  2. Step 2: Convert to fraction form
    1,548.89/2,322.51 = 890.63/x
  3. Step 3: Cross multiply
    1,548.89x = 2,322.51 × 890.63
  4. Step 4: Simplify right side
    1,548.89x = 2,068,497.08
  5. Step 5: Solve for x
    x = 2,068,497.08/1,548.89
  6. Step 6: Final answer
    x = 1,335.47

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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.