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Finding the Fourth Proportional to 2,304.84, 3,180.70 and 1,256.91

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Solution

The fourth proportional to 2,304.84, 3,180.70 and 1,256.91 is: 1,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.84 : 3,180.70 = 1,256.91 : x
  2. Step 2: Convert to fraction form
    2,304.84/3,180.70 = 1,256.91/x
  3. Step 3: Cross multiply
    2,304.84x = 3,180.70 × 1,256.91
  4. Step 4: Simplify right side
    2,304.84x = 3,997,853.64
  5. Step 5: Solve for x
    x = 3,997,853.64/2,304.84
  6. Step 6: Final answer
    x = 1,734.55

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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.