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Finding the Fourth Proportional to 1,768.40, 2,440.49 and 1,022.39

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Solution

The fourth proportional to 1,768.40, 2,440.49 and 1,022.39 is: 1,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.40 : 2,440.49 = 1,022.39 : x
  2. Step 2: Convert to fraction form
    1,768.40/2,440.49 = 1,022.39/x
  3. Step 3: Cross multiply
    1,768.40x = 2,440.49 × 1,022.39
  4. Step 4: Simplify right side
    1,768.40x = 2,495,115.26
  5. Step 5: Solve for x
    x = 2,495,115.26/1,768.40
  6. Step 6: Final answer
    x = 1,410.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.