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Finding the Fourth Proportional to 3,402.84, 4,695.60 and 1,910.76

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Solution

The fourth proportional to 3,402.84, 4,695.60 and 1,910.76 is: 2,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 4,695.60 = 1,910.76 : x
  2. Step 2: Convert to fraction form
    3,402.84/4,695.60 = 1,910.76/x
  3. Step 3: Cross multiply
    3,402.84x = 4,695.60 × 1,910.76
  4. Step 4: Simplify right side
    3,402.84x = 8,972,164.66
  5. Step 5: Solve for x
    x = 8,972,164.66/3,402.84
  6. Step 6: Final answer
    x = 2,636.67

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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.