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Finding the Fourth Proportional to 3,167.47, 4,751.20 and 858.97

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Solution

The fourth proportional to 3,167.47, 4,751.20 and 858.97 is: 1,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.47 : 4,751.20 = 858.97 : x
  2. Step 2: Convert to fraction form
    3,167.47/4,751.20 = 858.97/x
  3. Step 3: Cross multiply
    3,167.47x = 4,751.20 × 858.97
  4. Step 4: Simplify right side
    3,167.47x = 4,081,114.51
  5. Step 5: Solve for x
    x = 4,081,114.51/3,167.47
  6. Step 6: Final answer
    x = 1,288.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.