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Finding the Fourth Proportional to 2,146.64, 3,219.95 and 913.71

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Solution

The fourth proportional to 2,146.64, 3,219.95 and 913.71 is: 1,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.64 : 3,219.95 = 913.71 : x
  2. Step 2: Convert to fraction form
    2,146.64/3,219.95 = 913.71/x
  3. Step 3: Cross multiply
    2,146.64x = 3,219.95 × 913.71
  4. Step 4: Simplify right side
    2,146.64x = 2,942,114.87
  5. Step 5: Solve for x
    x = 2,942,114.87/2,146.64
  6. Step 6: Final answer
    x = 1,370.57

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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.