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Finding the Fourth Proportional to 1,690.70, 2,328.44 and 1,654.38

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Solution

The fourth proportional to 1,690.70, 2,328.44 and 1,654.38 is: 2,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.70 : 2,328.44 = 1,654.38 : x
  2. Step 2: Convert to fraction form
    1,690.70/2,328.44 = 1,654.38/x
  3. Step 3: Cross multiply
    1,690.70x = 2,328.44 × 1,654.38
  4. Step 4: Simplify right side
    1,690.70x = 3,852,116.30
  5. Step 5: Solve for x
    x = 3,852,116.30/1,690.70
  6. Step 6: Final answer
    x = 2,278.42

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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.