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Finding the Fourth Proportional to 2,412.80, 3,329.58 and 1,364.80

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Solution

The fourth proportional to 2,412.80, 3,329.58 and 1,364.80 is: 1,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.80 : 3,329.58 = 1,364.80 : x
  2. Step 2: Convert to fraction form
    2,412.80/3,329.58 = 1,364.80/x
  3. Step 3: Cross multiply
    2,412.80x = 3,329.58 × 1,364.80
  4. Step 4: Simplify right side
    2,412.80x = 4,544,210.78
  5. Step 5: Solve for x
    x = 4,544,210.78/2,412.80
  6. Step 6: Final answer
    x = 1,883.38

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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.