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Finding the Fourth Proportional to 3,056.53, 4,584.71 and 976.66

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Solution

The fourth proportional to 3,056.53, 4,584.71 and 976.66 is: 1,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.53 : 4,584.71 = 976.66 : x
  2. Step 2: Convert to fraction form
    3,056.53/4,584.71 = 976.66/x
  3. Step 3: Cross multiply
    3,056.53x = 4,584.71 × 976.66
  4. Step 4: Simplify right side
    3,056.53x = 4,477,702.87
  5. Step 5: Solve for x
    x = 4,477,702.87/3,056.53
  6. Step 6: Final answer
    x = 1,464.96

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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.