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Finding the Fourth Proportional to 2,517.09, 3,775.46 and 785.67

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Solution

The fourth proportional to 2,517.09, 3,775.46 and 785.67 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.09 : 3,775.46 = 785.67 : x
  2. Step 2: Convert to fraction form
    2,517.09/3,775.46 = 785.67/x
  3. Step 3: Cross multiply
    2,517.09x = 3,775.46 × 785.67
  4. Step 4: Simplify right side
    2,517.09x = 2,966,261.73
  5. Step 5: Solve for x
    x = 2,966,261.73/2,517.09
  6. Step 6: Final answer
    x = 1,178.45

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1.5x scale

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.