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Finding the Fourth Proportional to 3,176.13, 4,764.20 and 984.96

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Solution

The fourth proportional to 3,176.13, 4,764.20 and 984.96 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.13 : 4,764.20 = 984.96 : x
  2. Step 2: Convert to fraction form
    3,176.13/4,764.20 = 984.96/x
  3. Step 3: Cross multiply
    3,176.13x = 4,764.20 × 984.96
  4. Step 4: Simplify right side
    3,176.13x = 4,692,541.51
  5. Step 5: Solve for x
    x = 4,692,541.51/3,176.13
  6. Step 6: Final answer
    x = 1,477.44

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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.