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Finding the Fourth Proportional to 3,661.40, 5,048.70 and 2,333

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Solution

The fourth proportional to 3,661.40, 5,048.70 and 2,333 is: 3,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.40 : 5,048.70 = 2,333 : x
  2. Step 2: Convert to fraction form
    3,661.40/5,048.70 = 2,333/x
  3. Step 3: Cross multiply
    3,661.40x = 5,048.70 × 2,333
  4. Step 4: Simplify right side
    3,661.40x = 11,778,617.10
  5. Step 5: Solve for x
    x = 11,778,617.10/3,661.40
  6. Step 6: Final answer
    x = 3,216.97

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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.