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Finding the Fourth Proportional to 3,164.56, 4,747.29 and 973.47

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Solution

The fourth proportional to 3,164.56, 4,747.29 and 973.47 is: 1,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.56 : 4,747.29 = 973.47 : x
  2. Step 2: Convert to fraction form
    3,164.56/4,747.29 = 973.47/x
  3. Step 3: Cross multiply
    3,164.56x = 4,747.29 × 973.47
  4. Step 4: Simplify right side
    3,164.56x = 4,621,344.40
  5. Step 5: Solve for x
    x = 4,621,344.40/3,164.56
  6. Step 6: Final answer
    x = 1,460.34

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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.