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Finding the Fourth Proportional to 4,117.84, 6,176.82 and 1,653.80

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Solution

The fourth proportional to 4,117.84, 6,176.82 and 1,653.80 is: 2,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.84 : 6,176.82 = 1,653.80 : x
  2. Step 2: Convert to fraction form
    4,117.84/6,176.82 = 1,653.80/x
  3. Step 3: Cross multiply
    4,117.84x = 6,176.82 × 1,653.80
  4. Step 4: Simplify right side
    4,117.84x = 10,215,224.92
  5. Step 5: Solve for x
    x = 10,215,224.92/4,117.84
  6. Step 6: Final answer
    x = 2,480.72

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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.