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Finding the Fourth Proportional to 1,540.48, 2,308.80 and 889.84

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Solution

The fourth proportional to 1,540.48, 2,308.80 and 889.84 is: 1,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.48 : 2,308.80 = 889.84 : x
  2. Step 2: Convert to fraction form
    1,540.48/2,308.80 = 889.84/x
  3. Step 3: Cross multiply
    1,540.48x = 2,308.80 × 889.84
  4. Step 4: Simplify right side
    1,540.48x = 2,054,462.59
  5. Step 5: Solve for x
    x = 2,054,462.59/1,540.48
  6. Step 6: Final answer
    x = 1,333.65

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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.