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Finding the Fourth Proportional to 3,056.64, 4,584.98 and 976.62

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Solution

The fourth proportional to 3,056.64, 4,584.98 and 976.62 is: 1,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.64 : 4,584.98 = 976.62 : x
  2. Step 2: Convert to fraction form
    3,056.64/4,584.98 = 976.62/x
  3. Step 3: Cross multiply
    3,056.64x = 4,584.98 × 976.62
  4. Step 4: Simplify right side
    3,056.64x = 4,477,783.17
  5. Step 5: Solve for x
    x = 4,477,783.17/3,056.64
  6. Step 6: Final answer
    x = 1,464.94

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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.