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Finding the Fourth Proportional to 2,118.62, 3,176.19 and 1,423.16

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Solution

The fourth proportional to 2,118.62, 3,176.19 and 1,423.16 is: 2,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.62 : 3,176.19 = 1,423.16 : x
  2. Step 2: Convert to fraction form
    2,118.62/3,176.19 = 1,423.16/x
  3. Step 3: Cross multiply
    2,118.62x = 3,176.19 × 1,423.16
  4. Step 4: Simplify right side
    2,118.62x = 4,520,210.68
  5. Step 5: Solve for x
    x = 4,520,210.68/2,118.62
  6. Step 6: Final answer
    x = 2,133.57

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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.