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Finding the Fourth Proportional to 2,146.64, 3,217.05 and 913.70

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Solution

The fourth proportional to 2,146.64, 3,217.05 and 913.70 is: 1,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.64 : 3,217.05 = 913.70 : x
  2. Step 2: Convert to fraction form
    2,146.64/3,217.05 = 913.70/x
  3. Step 3: Cross multiply
    2,146.64x = 3,217.05 × 913.70
  4. Step 4: Simplify right side
    2,146.64x = 2,939,426.63
  5. Step 5: Solve for x
    x = 2,939,426.63/2,146.64
  6. Step 6: Final answer
    x = 1,369.32

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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.