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Finding the Fourth Proportional to 2,330.46, 3,496.21 and 770.95

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Solution

The fourth proportional to 2,330.46, 3,496.21 and 770.95 is: 1,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.46 : 3,496.21 = 770.95 : x
  2. Step 2: Convert to fraction form
    2,330.46/3,496.21 = 770.95/x
  3. Step 3: Cross multiply
    2,330.46x = 3,496.21 × 770.95
  4. Step 4: Simplify right side
    2,330.46x = 2,695,403.10
  5. Step 5: Solve for x
    x = 2,695,403.10/2,330.46
  6. Step 6: Final answer
    x = 1,156.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.