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Finding the Fourth Proportional to 2,465.97, 3,695.54 and 1,293.65

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Solution

The fourth proportional to 2,465.97, 3,695.54 and 1,293.65 is: 1,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.97 : 3,695.54 = 1,293.65 : x
  2. Step 2: Convert to fraction form
    2,465.97/3,695.54 = 1,293.65/x
  3. Step 3: Cross multiply
    2,465.97x = 3,695.54 × 1,293.65
  4. Step 4: Simplify right side
    2,465.97x = 4,780,724.23
  5. Step 5: Solve for x
    x = 4,780,724.23/2,465.97
  6. Step 6: Final answer
    x = 1,938.68

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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.