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Finding the Fourth Proportional to 3,062.48, 4,594 and 982.54

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Solution

The fourth proportional to 3,062.48, 4,594 and 982.54 is: 1,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.48 : 4,594 = 982.54 : x
  2. Step 2: Convert to fraction form
    3,062.48/4,594 = 982.54/x
  3. Step 3: Cross multiply
    3,062.48x = 4,594 × 982.54
  4. Step 4: Simplify right side
    3,062.48x = 4,513,788.76
  5. Step 5: Solve for x
    x = 4,513,788.76/3,062.48
  6. Step 6: Final answer
    x = 1,473.90

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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.