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Finding the Fourth Proportional to 1,690.95, 2,333.67 and 982.88

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Solution

The fourth proportional to 1,690.95, 2,333.67 and 982.88 is: 1,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.95 : 2,333.67 = 982.88 : x
  2. Step 2: Convert to fraction form
    1,690.95/2,333.67 = 982.88/x
  3. Step 3: Cross multiply
    1,690.95x = 2,333.67 × 982.88
  4. Step 4: Simplify right side
    1,690.95x = 2,293,705.90
  5. Step 5: Solve for x
    x = 2,293,705.90/1,690.95
  6. Step 6: Final answer
    x = 1,356.46

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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.