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Finding the Fourth Proportional to 1,766.67, 2,438.21 and 980.77

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Solution

The fourth proportional to 1,766.67, 2,438.21 and 980.77 is: 1,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.67 : 2,438.21 = 980.77 : x
  2. Step 2: Convert to fraction form
    1,766.67/2,438.21 = 980.77/x
  3. Step 3: Cross multiply
    1,766.67x = 2,438.21 × 980.77
  4. Step 4: Simplify right side
    1,766.67x = 2,391,323.22
  5. Step 5: Solve for x
    x = 2,391,323.22/1,766.67
  6. Step 6: Final answer
    x = 1,353.58

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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.