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Finding the Fourth Proportional to 1,660.66, 2,491.28 and 838.10

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Solution

The fourth proportional to 1,660.66, 2,491.28 and 838.10 is: 1,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.66 : 2,491.28 = 838.10 : x
  2. Step 2: Convert to fraction form
    1,660.66/2,491.28 = 838.10/x
  3. Step 3: Cross multiply
    1,660.66x = 2,491.28 × 838.10
  4. Step 4: Simplify right side
    1,660.66x = 2,087,941.77
  5. Step 5: Solve for x
    x = 2,087,941.77/1,660.66
  6. Step 6: Final answer
    x = 1,257.30

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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.