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Finding the Fourth Proportional to 3,304.62, 4,956.45 and 964.00

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Solution

The fourth proportional to 3,304.62, 4,956.45 and 964.00 is: 1,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.62 : 4,956.45 = 964.00 : x
  2. Step 2: Convert to fraction form
    3,304.62/4,956.45 = 964.00/x
  3. Step 3: Cross multiply
    3,304.62x = 4,956.45 × 964.00
  4. Step 4: Simplify right side
    3,304.62x = 4,778,005.41
  5. Step 5: Solve for x
    x = 4,778,005.41/3,304.62
  6. Step 6: Final answer
    x = 1,445.86

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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.