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Finding the Fourth Proportional to 3,265.68, 4,506.84 and 1,868.64

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Solution

The fourth proportional to 3,265.68, 4,506.84 and 1,868.64 is: 2,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.68 : 4,506.84 = 1,868.64 : x
  2. Step 2: Convert to fraction form
    3,265.68/4,506.84 = 1,868.64/x
  3. Step 3: Cross multiply
    3,265.68x = 4,506.84 × 1,868.64
  4. Step 4: Simplify right side
    3,265.68x = 8,421,661.50
  5. Step 5: Solve for x
    x = 8,421,661.50/3,265.68
  6. Step 6: Final answer
    x = 2,578.84

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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.