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Finding the Fourth Proportional to 3,056.82, 4,585.91 and 976.99

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Solution

The fourth proportional to 3,056.82, 4,585.91 and 976.99 is: 1,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.82 : 4,585.91 = 976.99 : x
  2. Step 2: Convert to fraction form
    3,056.82/4,585.91 = 976.99/x
  3. Step 3: Cross multiply
    3,056.82x = 4,585.91 × 976.99
  4. Step 4: Simplify right side
    3,056.82x = 4,480,388.21
  5. Step 5: Solve for x
    x = 4,480,388.21/3,056.82
  6. Step 6: Final answer
    x = 1,465.70

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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.