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Finding the Fourth Proportional to 3,054.87, 4,582.09 and 974.79

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Solution

The fourth proportional to 3,054.87, 4,582.09 and 974.79 is: 1,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.87 : 4,582.09 = 974.79 : x
  2. Step 2: Convert to fraction form
    3,054.87/4,582.09 = 974.79/x
  3. Step 3: Cross multiply
    3,054.87x = 4,582.09 × 974.79
  4. Step 4: Simplify right side
    3,054.87x = 4,466,575.51
  5. Step 5: Solve for x
    x = 4,466,575.51/3,054.87
  6. Step 6: Final answer
    x = 1,462.12

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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.