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Finding the Fourth Proportional to 3,054.63, 4,581.98 and 974.63

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Solution

The fourth proportional to 3,054.63, 4,581.98 and 974.63 is: 1,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.63 : 4,581.98 = 974.63 : x
  2. Step 2: Convert to fraction form
    3,054.63/4,581.98 = 974.63/x
  3. Step 3: Cross multiply
    3,054.63x = 4,581.98 × 974.63
  4. Step 4: Simplify right side
    3,054.63x = 4,465,735.17
  5. Step 5: Solve for x
    x = 4,465,735.17/3,054.63
  6. Step 6: Final answer
    x = 1,461.96

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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.