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Finding the Fourth Proportional to 3,167.06, 4,751.04 and 975.97

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Solution

The fourth proportional to 3,167.06, 4,751.04 and 975.97 is: 1,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.06 : 4,751.04 = 975.97 : x
  2. Step 2: Convert to fraction form
    3,167.06/4,751.04 = 975.97/x
  3. Step 3: Cross multiply
    3,167.06x = 4,751.04 × 975.97
  4. Step 4: Simplify right side
    3,167.06x = 4,636,872.51
  5. Step 5: Solve for x
    x = 4,636,872.51/3,167.06
  6. Step 6: Final answer
    x = 1,464.09

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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.