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Finding the Fourth Proportional to 2,304.96, 3,455.04 and 1,726.08

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Solution

The fourth proportional to 2,304.96, 3,455.04 and 1,726.08 is: 2,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.96 : 3,455.04 = 1,726.08 : x
  2. Step 2: Convert to fraction form
    2,304.96/3,455.04 = 1,726.08/x
  3. Step 3: Cross multiply
    2,304.96x = 3,455.04 × 1,726.08
  4. Step 4: Simplify right side
    2,304.96x = 5,963,675.44
  5. Step 5: Solve for x
    x = 5,963,675.44/2,304.96
  6. Step 6: Final answer
    x = 2,587.32

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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.