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Finding the Fourth Proportional to 2,841.64, 3,920.25 and 1,660.66

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Solution

The fourth proportional to 2,841.64, 3,920.25 and 1,660.66 is: 2,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.64 : 3,920.25 = 1,660.66 : x
  2. Step 2: Convert to fraction form
    2,841.64/3,920.25 = 1,660.66/x
  3. Step 3: Cross multiply
    2,841.64x = 3,920.25 × 1,660.66
  4. Step 4: Simplify right side
    2,841.64x = 6,510,202.37
  5. Step 5: Solve for x
    x = 6,510,202.37/2,841.64
  6. Step 6: Final answer
    x = 2,291.00

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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.