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Finding the Fourth Proportional to 2,304.51, 3,452.01 and 1,205.55

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Solution

The fourth proportional to 2,304.51, 3,452.01 and 1,205.55 is: 1,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.51 : 3,452.01 = 1,205.55 : x
  2. Step 2: Convert to fraction form
    2,304.51/3,452.01 = 1,205.55/x
  3. Step 3: Cross multiply
    2,304.51x = 3,452.01 × 1,205.55
  4. Step 4: Simplify right side
    2,304.51x = 4,161,570.66
  5. Step 5: Solve for x
    x = 4,161,570.66/2,304.51
  6. Step 6: Final answer
    x = 1,805.84

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1.5x scale

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.