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Finding the Fourth Proportional to 1,672.96, 2,308.80 and 1,148.80

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Solution

The fourth proportional to 1,672.96, 2,308.80 and 1,148.80 is: 1,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.96 : 2,308.80 = 1,148.80 : x
  2. Step 2: Convert to fraction form
    1,672.96/2,308.80 = 1,148.80/x
  3. Step 3: Cross multiply
    1,672.96x = 2,308.80 × 1,148.80
  4. Step 4: Simplify right side
    1,672.96x = 2,652,349.44
  5. Step 5: Solve for x
    x = 2,652,349.44/1,672.96
  6. Step 6: Final answer
    x = 1,585.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.