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Finding the Fourth Proportional to 2,646.58, 3,970.79 and 797.65

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Solution

The fourth proportional to 2,646.58, 3,970.79 and 797.65 is: 1,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.58 : 3,970.79 = 797.65 : x
  2. Step 2: Convert to fraction form
    2,646.58/3,970.79 = 797.65/x
  3. Step 3: Cross multiply
    2,646.58x = 3,970.79 × 797.65
  4. Step 4: Simplify right side
    2,646.58x = 3,167,300.64
  5. Step 5: Solve for x
    x = 3,167,300.64/2,646.58
  6. Step 6: Final answer
    x = 1,196.75

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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.