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Finding the Fourth Proportional to 1,514.41, 2,270.52 and 589.19

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Solution

The fourth proportional to 1,514.41, 2,270.52 and 589.19 is: 883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.41 : 2,270.52 = 589.19 : x
  2. Step 2: Convert to fraction form
    1,514.41/2,270.52 = 589.19/x
  3. Step 3: Cross multiply
    1,514.41x = 2,270.52 × 589.19
  4. Step 4: Simplify right side
    1,514.41x = 1,337,756.33
  5. Step 5: Solve for x
    x = 1,337,756.33/1,514.41
  6. Step 6: Final answer
    x = 883.35

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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.