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Finding the Fourth Proportional to 3,117.77, 4,674.33 and 1,884.87

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Solution

The fourth proportional to 3,117.77, 4,674.33 and 1,884.87 is: 2,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.77 : 4,674.33 = 1,884.87 : x
  2. Step 2: Convert to fraction form
    3,117.77/4,674.33 = 1,884.87/x
  3. Step 3: Cross multiply
    3,117.77x = 4,674.33 × 1,884.87
  4. Step 4: Simplify right side
    3,117.77x = 8,810,509.69
  5. Step 5: Solve for x
    x = 8,810,509.69/3,117.77
  6. Step 6: Final answer
    x = 2,825.90

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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.