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Finding the Fourth Proportional to 2,114.64, 3,170.94 and 945

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Solution

The fourth proportional to 2,114.64, 3,170.94 and 945 is: 1,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 3,170.94 = 945 : x
  2. Step 2: Convert to fraction form
    2,114.64/3,170.94 = 945/x
  3. Step 3: Cross multiply
    2,114.64x = 3,170.94 × 945
  4. Step 4: Simplify right side
    2,114.64x = 2,996,538.30
  5. Step 5: Solve for x
    x = 2,996,538.30/2,114.64
  6. Step 6: Final answer
    x = 1,417.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.