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Finding the Fourth Proportional to 2,117.43, 3,176.13 and 578.43

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Solution

The fourth proportional to 2,117.43, 3,176.13 and 578.43 is: 867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.43 : 3,176.13 = 578.43 : x
  2. Step 2: Convert to fraction form
    2,117.43/3,176.13 = 578.43/x
  3. Step 3: Cross multiply
    2,117.43x = 3,176.13 × 578.43
  4. Step 4: Simplify right side
    2,117.43x = 1,837,154.44
  5. Step 5: Solve for x
    x = 1,837,154.44/2,117.43
  6. Step 6: Final answer
    x = 867.64

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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.