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Finding the Fourth Proportional to 2,304.75, 3,180.58 and 1,256.84

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Solution

The fourth proportional to 2,304.75, 3,180.58 and 1,256.84 is: 1,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.75 : 3,180.58 = 1,256.84 : x
  2. Step 2: Convert to fraction form
    2,304.75/3,180.58 = 1,256.84/x
  3. Step 3: Cross multiply
    2,304.75x = 3,180.58 × 1,256.84
  4. Step 4: Simplify right side
    2,304.75x = 3,997,461.12
  5. Step 5: Solve for x
    x = 3,997,461.12/2,304.75
  6. Step 6: Final answer
    x = 1,734.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.