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Finding the Fourth Proportional to 1,755.59, 2,633.38 and 1,206.10

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Solution

The fourth proportional to 1,755.59, 2,633.38 and 1,206.10 is: 1,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.59 : 2,633.38 = 1,206.10 : x
  2. Step 2: Convert to fraction form
    1,755.59/2,633.38 = 1,206.10/x
  3. Step 3: Cross multiply
    1,755.59x = 2,633.38 × 1,206.10
  4. Step 4: Simplify right side
    1,755.59x = 3,176,119.89
  5. Step 5: Solve for x
    x = 3,176,119.89/1,755.59
  6. Step 6: Final answer
    x = 1,809.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.