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Finding the Fourth Proportional to 2,286, 3,429.66 and 1,312.80

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Solution

The fourth proportional to 2,286, 3,429.66 and 1,312.80 is: 1,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,429.66 = 1,312.80 : x
  2. Step 2: Convert to fraction form
    2,286/3,429.66 = 1,312.80/x
  3. Step 3: Cross multiply
    2,286x = 3,429.66 × 1,312.80
  4. Step 4: Simplify right side
    2,286x = 4,502,457.65
  5. Step 5: Solve for x
    x = 4,502,457.65/2,286
  6. Step 6: Final answer
    x = 1,969.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.