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Finding the Fourth Proportional to 1,293.49, 1,930.85 and 1,197.13

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Solution

The fourth proportional to 1,293.49, 1,930.85 and 1,197.13 is: 1,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.49 : 1,930.85 = 1,197.13 : x
  2. Step 2: Convert to fraction form
    1,293.49/1,930.85 = 1,197.13/x
  3. Step 3: Cross multiply
    1,293.49x = 1,930.85 × 1,197.13
  4. Step 4: Simplify right side
    1,293.49x = 2,311,478.46
  5. Step 5: Solve for x
    x = 2,311,478.46/1,293.49
  6. Step 6: Final answer
    x = 1,787.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.