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Finding the Fourth Proportional to 3,283.14, 4,925.52 and 974.64

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Solution

The fourth proportional to 3,283.14, 4,925.52 and 974.64 is: 1,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.14 : 4,925.52 = 974.64 : x
  2. Step 2: Convert to fraction form
    3,283.14/4,925.52 = 974.64/x
  3. Step 3: Cross multiply
    3,283.14x = 4,925.52 × 974.64
  4. Step 4: Simplify right side
    3,283.14x = 4,800,608.81
  5. Step 5: Solve for x
    x = 4,800,608.81/3,283.14
  6. Step 6: Final answer
    x = 1,462.20

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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.