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Finding the Fourth Proportional to 3,055.54, 4,584.02 and 1,300.64

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Solution

The fourth proportional to 3,055.54, 4,584.02 and 1,300.64 is: 1,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.54 : 4,584.02 = 1,300.64 : x
  2. Step 2: Convert to fraction form
    3,055.54/4,584.02 = 1,300.64/x
  3. Step 3: Cross multiply
    3,055.54x = 4,584.02 × 1,300.64
  4. Step 4: Simplify right side
    3,055.54x = 5,962,159.77
  5. Step 5: Solve for x
    x = 5,962,159.77/3,055.54
  6. Step 6: Final answer
    x = 1,951.26

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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.