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Finding the Fourth Proportional to 3,153.33, 4,728.78 and 1,304.00

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Solution

The fourth proportional to 3,153.33, 4,728.78 and 1,304.00 is: 1,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.33 : 4,728.78 = 1,304.00 : x
  2. Step 2: Convert to fraction form
    3,153.33/4,728.78 = 1,304.00/x
  3. Step 3: Cross multiply
    3,153.33x = 4,728.78 × 1,304.00
  4. Step 4: Simplify right side
    3,153.33x = 6,166,323.21
  5. Step 5: Solve for x
    x = 6,166,323.21/3,153.33
  6. Step 6: Final answer
    x = 1,955.50

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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.