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Finding the Fourth Proportional to 1,514.65, 2,272.07 and 589.90

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Solution

The fourth proportional to 1,514.65, 2,272.07 and 589.90 is: 884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.65 : 2,272.07 = 589.90 : x
  2. Step 2: Convert to fraction form
    1,514.65/2,272.07 = 589.90/x
  3. Step 3: Cross multiply
    1,514.65x = 2,272.07 × 589.90
  4. Step 4: Simplify right side
    1,514.65x = 1,340,294.09
  5. Step 5: Solve for x
    x = 1,340,294.09/1,514.65
  6. Step 6: Final answer
    x = 884.89

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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.