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Finding the Fourth Proportional to 3,146.85, 4,718.41 and 1,295.87

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Solution

The fourth proportional to 3,146.85, 4,718.41 and 1,295.87 is: 1,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.85 : 4,718.41 = 1,295.87 : x
  2. Step 2: Convert to fraction form
    3,146.85/4,718.41 = 1,295.87/x
  3. Step 3: Cross multiply
    3,146.85x = 4,718.41 × 1,295.87
  4. Step 4: Simplify right side
    3,146.85x = 6,114,419.13
  5. Step 5: Solve for x
    x = 6,114,419.13/3,146.85
  6. Step 6: Final answer
    x = 1,943.03

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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.