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Finding the Fourth Proportional to 2,304.89, 3,457.35 and 573.51

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Solution

The fourth proportional to 2,304.89, 3,457.35 and 573.51 is: 860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.89 : 3,457.35 = 573.51 : x
  2. Step 2: Convert to fraction form
    2,304.89/3,457.35 = 573.51/x
  3. Step 3: Cross multiply
    2,304.89x = 3,457.35 × 573.51
  4. Step 4: Simplify right side
    2,304.89x = 1,982,824.80
  5. Step 5: Solve for x
    x = 1,982,824.80/2,304.89
  6. Step 6: Final answer
    x = 860.27

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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.