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Finding the Fourth Proportional to 1,514.59, 2,271.18 and 890.18

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Solution

The fourth proportional to 1,514.59, 2,271.18 and 890.18 is: 1,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.59 : 2,271.18 = 890.18 : x
  2. Step 2: Convert to fraction form
    1,514.59/2,271.18 = 890.18/x
  3. Step 3: Cross multiply
    1,514.59x = 2,271.18 × 890.18
  4. Step 4: Simplify right side
    1,514.59x = 2,021,759.01
  5. Step 5: Solve for x
    x = 2,021,759.01/1,514.59
  6. Step 6: Final answer
    x = 1,334.86

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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.