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Finding the Fourth Proportional to 3,055.05, 4,581.27 and 974.34

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Solution

The fourth proportional to 3,055.05, 4,581.27 and 974.34 is: 1,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.05 : 4,581.27 = 974.34 : x
  2. Step 2: Convert to fraction form
    3,055.05/4,581.27 = 974.34/x
  3. Step 3: Cross multiply
    3,055.05x = 4,581.27 × 974.34
  4. Step 4: Simplify right side
    3,055.05x = 4,463,714.61
  5. Step 5: Solve for x
    x = 4,463,714.61/3,055.05
  6. Step 6: Final answer
    x = 1,461.09

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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.