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Finding the Fourth Proportional to 1,796.40, 2,695.14 and 974.46

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Solution

The fourth proportional to 1,796.40, 2,695.14 and 974.46 is: 1,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.40 : 2,695.14 = 974.46 : x
  2. Step 2: Convert to fraction form
    1,796.40/2,695.14 = 974.46/x
  3. Step 3: Cross multiply
    1,796.40x = 2,695.14 × 974.46
  4. Step 4: Simplify right side
    1,796.40x = 2,626,306.12
  5. Step 5: Solve for x
    x = 2,626,306.12/1,796.40
  6. Step 6: Final answer
    x = 1,461.98

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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.