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Finding the Fourth Proportional to 1,672.65, 2,307.84 and 964.71

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Solution

The fourth proportional to 1,672.65, 2,307.84 and 964.71 is: 1,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.65 : 2,307.84 = 964.71 : x
  2. Step 2: Convert to fraction form
    1,672.65/2,307.84 = 964.71/x
  3. Step 3: Cross multiply
    1,672.65x = 2,307.84 × 964.71
  4. Step 4: Simplify right side
    1,672.65x = 2,226,396.33
  5. Step 5: Solve for x
    x = 2,226,396.33/1,672.65
  6. Step 6: Final answer
    x = 1,331.06

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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.