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Finding the Fourth Proportional to 3,054.24, 4,581.54 and 974.34

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Solution

The fourth proportional to 3,054.24, 4,581.54 and 974.34 is: 1,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.24 : 4,581.54 = 974.34 : x
  2. Step 2: Convert to fraction form
    3,054.24/4,581.54 = 974.34/x
  3. Step 3: Cross multiply
    3,054.24x = 4,581.54 × 974.34
  4. Step 4: Simplify right side
    3,054.24x = 4,463,977.68
  5. Step 5: Solve for x
    x = 4,463,977.68/3,054.24
  6. Step 6: Final answer
    x = 1,461.57

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1.5x scale

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.