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Finding the Fourth Proportional to 1,514.54, 2,269.35 and 589.05

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Solution

The fourth proportional to 1,514.54, 2,269.35 and 589.05 is: 882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.54 : 2,269.35 = 589.05 : x
  2. Step 2: Convert to fraction form
    1,514.54/2,269.35 = 589.05/x
  3. Step 3: Cross multiply
    1,514.54x = 2,269.35 × 589.05
  4. Step 4: Simplify right side
    1,514.54x = 1,336,760.62
  5. Step 5: Solve for x
    x = 1,336,760.62/1,514.54
  6. Step 6: Final answer
    x = 882.62

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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.