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Finding the Fourth Proportional to 1,966.95, 2,714.58 and 1,180.98

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Solution

The fourth proportional to 1,966.95, 2,714.58 and 1,180.98 is: 1,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.95 : 2,714.58 = 1,180.98 : x
  2. Step 2: Convert to fraction form
    1,966.95/2,714.58 = 1,180.98/x
  3. Step 3: Cross multiply
    1,966.95x = 2,714.58 × 1,180.98
  4. Step 4: Simplify right side
    1,966.95x = 3,205,864.69
  5. Step 5: Solve for x
    x = 3,205,864.69/1,966.95
  6. Step 6: Final answer
    x = 1,629.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.