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Finding the Fourth Proportional to 2,993.76, 4,133.52 and 2,497.68

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Solution

The fourth proportional to 2,993.76, 4,133.52 and 2,497.68 is: 3,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.76 : 4,133.52 = 2,497.68 : x
  2. Step 2: Convert to fraction form
    2,993.76/4,133.52 = 2,497.68/x
  3. Step 3: Cross multiply
    2,993.76x = 4,133.52 × 2,497.68
  4. Step 4: Simplify right side
    2,993.76x = 10,324,210.23
  5. Step 5: Solve for x
    x = 10,324,210.23/2,993.76
  6. Step 6: Final answer
    x = 3,448.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.