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Finding the Fourth Proportional to 2,435.73, 3,653.95 and 974.85

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Solution

The fourth proportional to 2,435.73, 3,653.95 and 974.85 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.73 : 3,653.95 = 974.85 : x
  2. Step 2: Convert to fraction form
    2,435.73/3,653.95 = 974.85/x
  3. Step 3: Cross multiply
    2,435.73x = 3,653.95 × 974.85
  4. Step 4: Simplify right side
    2,435.73x = 3,562,053.16
  5. Step 5: Solve for x
    x = 3,562,053.16/2,435.73
  6. Step 6: Final answer
    x = 1,462.42

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1.5x scale

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.