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Finding the Fourth Proportional to 3,176.92, 4,764.16 and 984.93

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Solution

The fourth proportional to 3,176.92, 4,764.16 and 984.93 is: 1,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.92 : 4,764.16 = 984.93 : x
  2. Step 2: Convert to fraction form
    3,176.92/4,764.16 = 984.93/x
  3. Step 3: Cross multiply
    3,176.92x = 4,764.16 × 984.93
  4. Step 4: Simplify right side
    3,176.92x = 4,692,364.11
  5. Step 5: Solve for x
    x = 4,692,364.11/3,176.92
  6. Step 6: Final answer
    x = 1,477.02

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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.