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Finding the Fourth Proportional to 3,056.83, 4,585.99 and 976.83

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Solution

The fourth proportional to 3,056.83, 4,585.99 and 976.83 is: 1,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.83 : 4,585.99 = 976.83 : x
  2. Step 2: Convert to fraction form
    3,056.83/4,585.99 = 976.83/x
  3. Step 3: Cross multiply
    3,056.83x = 4,585.99 × 976.83
  4. Step 4: Simplify right side
    3,056.83x = 4,479,730.17
  5. Step 5: Solve for x
    x = 4,479,730.17/3,056.83
  6. Step 6: Final answer
    x = 1,465.48

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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.