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Finding the Fourth Proportional to 1,596.65, 2,206.71 and 1,223.64

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Solution

The fourth proportional to 1,596.65, 2,206.71 and 1,223.64 is: 1,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.65 : 2,206.71 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    1,596.65/2,206.71 = 1,223.64/x
  3. Step 3: Cross multiply
    1,596.65x = 2,206.71 × 1,223.64
  4. Step 4: Simplify right side
    1,596.65x = 2,700,218.62
  5. Step 5: Solve for x
    x = 2,700,218.62/1,596.65
  6. Step 6: Final answer
    x = 1,691.18

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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.