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Finding the Fourth Proportional to 1,469.76, 2,030.96 and 1,070.73

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Solution

The fourth proportional to 1,469.76, 2,030.96 and 1,070.73 is: 1,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.76 : 2,030.96 = 1,070.73 : x
  2. Step 2: Convert to fraction form
    1,469.76/2,030.96 = 1,070.73/x
  3. Step 3: Cross multiply
    1,469.76x = 2,030.96 × 1,070.73
  4. Step 4: Simplify right side
    1,469.76x = 2,174,609.80
  5. Step 5: Solve for x
    x = 2,174,609.80/1,469.76
  6. Step 6: Final answer
    x = 1,479.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.