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Finding the Fourth Proportional to 1,416.43, 2,124.78 and 551.08

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Solution

The fourth proportional to 1,416.43, 2,124.78 and 551.08 is: 826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.43 : 2,124.78 = 551.08 : x
  2. Step 2: Convert to fraction form
    1,416.43/2,124.78 = 551.08/x
  3. Step 3: Cross multiply
    1,416.43x = 2,124.78 × 551.08
  4. Step 4: Simplify right side
    1,416.43x = 1,170,923.76
  5. Step 5: Solve for x
    x = 1,170,923.76/1,416.43
  6. Step 6: Final answer
    x = 826.67

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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.