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Finding the Fourth Proportional to 3,117.27, 4,671.77 and 1,653.27

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Solution

The fourth proportional to 3,117.27, 4,671.77 and 1,653.27 is: 2,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.27 : 4,671.77 = 1,653.27 : x
  2. Step 2: Convert to fraction form
    3,117.27/4,671.77 = 1,653.27/x
  3. Step 3: Cross multiply
    3,117.27x = 4,671.77 × 1,653.27
  4. Step 4: Simplify right side
    3,117.27x = 7,723,688.92
  5. Step 5: Solve for x
    x = 7,723,688.92/3,117.27
  6. Step 6: Final answer
    x = 2,477.71

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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.