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Finding the Fourth Proportional to 1,412.86, 2,118.94 and 1,000.79

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Solution

The fourth proportional to 1,412.86, 2,118.94 and 1,000.79 is: 1,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.86 : 2,118.94 = 1,000.79 : x
  2. Step 2: Convert to fraction form
    1,412.86/2,118.94 = 1,000.79/x
  3. Step 3: Cross multiply
    1,412.86x = 2,118.94 × 1,000.79
  4. Step 4: Simplify right side
    1,412.86x = 2,120,613.96
  5. Step 5: Solve for x
    x = 2,120,613.96/1,412.86
  6. Step 6: Final answer
    x = 1,500.94

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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.