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Finding the Fourth Proportional to 3,054.53, 4,581.71 and 974.66

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Solution

The fourth proportional to 3,054.53, 4,581.71 and 974.66 is: 1,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.53 : 4,581.71 = 974.66 : x
  2. Step 2: Convert to fraction form
    3,054.53/4,581.71 = 974.66/x
  3. Step 3: Cross multiply
    3,054.53x = 4,581.71 × 974.66
  4. Step 4: Simplify right side
    3,054.53x = 4,465,597.54
  5. Step 5: Solve for x
    x = 4,465,597.54/3,054.53
  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.