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Finding the Fourth Proportional to 1,514.70, 2,270.16 and 1,020.74

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Solution

The fourth proportional to 1,514.70, 2,270.16 and 1,020.74 is: 1,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.70 : 2,270.16 = 1,020.74 : x
  2. Step 2: Convert to fraction form
    1,514.70/2,270.16 = 1,020.74/x
  3. Step 3: Cross multiply
    1,514.70x = 2,270.16 × 1,020.74
  4. Step 4: Simplify right side
    1,514.70x = 2,317,231.77
  5. Step 5: Solve for x
    x = 2,317,231.77/1,514.70
  6. Step 6: Final answer
    x = 1,529.83

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