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Finding the Fourth Proportional to 3,176.34, 4,764.45 and 984.81

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Solution

The fourth proportional to 3,176.34, 4,764.45 and 984.81 is: 1,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.34 : 4,764.45 = 984.81 : x
  2. Step 2: Convert to fraction form
    3,176.34/4,764.45 = 984.81/x
  3. Step 3: Cross multiply
    3,176.34x = 4,764.45 × 984.81
  4. Step 4: Simplify right side
    3,176.34x = 4,692,078.00
  5. Step 5: Solve for x
    x = 4,692,078.00/3,176.34
  6. Step 6: Final answer
    x = 1,477.20

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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.