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Finding the Fourth Proportional to 1,451.08, 2,176.89 and 514.12

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Solution

The fourth proportional to 1,451.08, 2,176.89 and 514.12 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.08 : 2,176.89 = 514.12 : x
  2. Step 2: Convert to fraction form
    1,451.08/2,176.89 = 514.12/x
  3. Step 3: Cross multiply
    1,451.08x = 2,176.89 × 514.12
  4. Step 4: Simplify right side
    1,451.08x = 1,119,182.69
  5. Step 5: Solve for x
    x = 1,119,182.69/1,451.08
  6. Step 6: Final answer
    x = 771.28

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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.