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Finding the Fourth Proportional to 1,294.10, 1,938.45 and 969.02

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Solution

The fourth proportional to 1,294.10, 1,938.45 and 969.02 is: 1,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.10 : 1,938.45 = 969.02 : x
  2. Step 2: Convert to fraction form
    1,294.10/1,938.45 = 969.02/x
  3. Step 3: Cross multiply
    1,294.10x = 1,938.45 × 969.02
  4. Step 4: Simplify right side
    1,294.10x = 1,878,396.82
  5. Step 5: Solve for x
    x = 1,878,396.82/1,294.10
  6. Step 6: Final answer
    x = 1,451.51

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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.