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Finding the Fourth Proportional to 3,054.30, 4,581.40 and 974.27

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Solution

The fourth proportional to 3,054.30, 4,581.40 and 974.27 is: 1,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.30 : 4,581.40 = 974.27 : x
  2. Step 2: Convert to fraction form
    3,054.30/4,581.40 = 974.27/x
  3. Step 3: Cross multiply
    3,054.30x = 4,581.40 × 974.27
  4. Step 4: Simplify right side
    3,054.30x = 4,463,495.24
  5. Step 5: Solve for x
    x = 4,463,495.24/3,054.30
  6. Step 6: Final answer
    x = 1,461.38

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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.