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Finding the Fourth Proportional to 2,859.22, 3,945.64 and 1,680.40

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Solution

The fourth proportional to 2,859.22, 3,945.64 and 1,680.40 is: 2,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.22 : 3,945.64 = 1,680.40 : x
  2. Step 2: Convert to fraction form
    2,859.22/3,945.64 = 1,680.40/x
  3. Step 3: Cross multiply
    2,859.22x = 3,945.64 × 1,680.40
  4. Step 4: Simplify right side
    2,859.22x = 6,630,253.46
  5. Step 5: Solve for x
    x = 6,630,253.46/2,859.22
  6. Step 6: Final answer
    x = 2,318.90

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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.