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Finding the Fourth Proportional to 2,435.85, 3,654.14 and 974.97

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Solution

The fourth proportional to 2,435.85, 3,654.14 and 974.97 is: 1,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.85 : 3,654.14 = 974.97 : x
  2. Step 2: Convert to fraction form
    2,435.85/3,654.14 = 974.97/x
  3. Step 3: Cross multiply
    2,435.85x = 3,654.14 × 974.97
  4. Step 4: Simplify right side
    2,435.85x = 3,562,672.00
  5. Step 5: Solve for x
    x = 3,562,672.00/2,435.85
  6. Step 6: Final answer
    x = 1,462.60

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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.