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Finding the Fourth Proportional to 1,672.26, 2,307.88 and 964.12

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Solution

The fourth proportional to 1,672.26, 2,307.88 and 964.12 is: 1,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.26 : 2,307.88 = 964.12 : x
  2. Step 2: Convert to fraction form
    1,672.26/2,307.88 = 964.12/x
  3. Step 3: Cross multiply
    1,672.26x = 2,307.88 × 964.12
  4. Step 4: Simplify right side
    1,672.26x = 2,225,073.27
  5. Step 5: Solve for x
    x = 2,225,073.27/1,672.26
  6. Step 6: Final answer
    x = 1,330.58

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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.