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Finding the Fourth Proportional to 1,660.84, 2,291.16 and 997.45

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Solution

The fourth proportional to 1,660.84, 2,291.16 and 997.45 is: 1,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.84 : 2,291.16 = 997.45 : x
  2. Step 2: Convert to fraction form
    1,660.84/2,291.16 = 997.45/x
  3. Step 3: Cross multiply
    1,660.84x = 2,291.16 × 997.45
  4. Step 4: Simplify right side
    1,660.84x = 2,285,317.54
  5. Step 5: Solve for x
    x = 2,285,317.54/1,660.84
  6. Step 6: Final answer
    x = 1,376.00

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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.