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Finding the Fourth Proportional to 3,175.10, 4,762.75 and 983.85

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Solution

The fourth proportional to 3,175.10, 4,762.75 and 983.85 is: 1,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.10 : 4,762.75 = 983.85 : x
  2. Step 2: Convert to fraction form
    3,175.10/4,762.75 = 983.85/x
  3. Step 3: Cross multiply
    3,175.10x = 4,762.75 × 983.85
  4. Step 4: Simplify right side
    3,175.10x = 4,685,831.59
  5. Step 5: Solve for x
    x = 4,685,831.59/3,175.10
  6. Step 6: Final answer
    x = 1,475.81

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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.