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Finding the Fourth Proportional to 1,672.37, 2,308.04 and 964.43

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Solution

The fourth proportional to 1,672.37, 2,308.04 and 964.43 is: 1,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.37 : 2,308.04 = 964.43 : x
  2. Step 2: Convert to fraction form
    1,672.37/2,308.04 = 964.43/x
  3. Step 3: Cross multiply
    1,672.37x = 2,308.04 × 964.43
  4. Step 4: Simplify right side
    1,672.37x = 2,225,926.65
  5. Step 5: Solve for x
    x = 2,225,926.65/1,672.37
  6. Step 6: Final answer
    x = 1,331.01

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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.