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Finding the Fourth Proportional to 1,514.39, 2,270.94 and 474.11

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Solution

The fourth proportional to 1,514.39, 2,270.94 and 474.11 is: 710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.39 : 2,270.94 = 474.11 : x
  2. Step 2: Convert to fraction form
    1,514.39/2,270.94 = 474.11/x
  3. Step 3: Cross multiply
    1,514.39x = 2,270.94 × 474.11
  4. Step 4: Simplify right side
    1,514.39x = 1,076,675.36
  5. Step 5: Solve for x
    x = 1,076,675.36/1,514.39
  6. Step 6: Final answer
    x = 710.96

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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.