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Finding the Fourth Proportional to 3,196.63, 4,411.75 and 1,799.65

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Solution

The fourth proportional to 3,196.63, 4,411.75 and 1,799.65 is: 2,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.63 : 4,411.75 = 1,799.65 : x
  2. Step 2: Convert to fraction form
    3,196.63/4,411.75 = 1,799.65/x
  3. Step 3: Cross multiply
    3,196.63x = 4,411.75 × 1,799.65
  4. Step 4: Simplify right side
    3,196.63x = 7,939,583.83
  5. Step 5: Solve for x
    x = 7,939,583.83/3,196.63
  6. Step 6: Final answer
    x = 2,483.74

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1.5x scale

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.