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Finding the Fourth Proportional to 1,672.27, 2,307.46 and 964.14

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Solution

The fourth proportional to 1,672.27, 2,307.46 and 964.14 is: 1,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.27 : 2,307.46 = 964.14 : x
  2. Step 2: Convert to fraction form
    1,672.27/2,307.46 = 964.14/x
  3. Step 3: Cross multiply
    1,672.27x = 2,307.46 × 964.14
  4. Step 4: Simplify right side
    1,672.27x = 2,224,714.48
  5. Step 5: Solve for x
    x = 2,224,714.48/1,672.27
  6. Step 6: Final answer
    x = 1,330.36

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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.