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Finding the Fourth Proportional to 1,672.87, 2,308.84 and 964.58

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Solution

The fourth proportional to 1,672.87, 2,308.84 and 964.58 is: 1,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.87 : 2,308.84 = 964.58 : x
  2. Step 2: Convert to fraction form
    1,672.87/2,308.84 = 964.58/x
  3. Step 3: Cross multiply
    1,672.87x = 2,308.84 × 964.58
  4. Step 4: Simplify right side
    1,672.87x = 2,227,060.89
  5. Step 5: Solve for x
    x = 2,227,060.89/1,672.87
  6. Step 6: Final answer
    x = 1,331.28

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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.