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Finding the Fourth Proportional to 1,759.50, 2,429.12 and 1,162.02

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Solution

The fourth proportional to 1,759.50, 2,429.12 and 1,162.02 is: 1,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.50 : 2,429.12 = 1,162.02 : x
  2. Step 2: Convert to fraction form
    1,759.50/2,429.12 = 1,162.02/x
  3. Step 3: Cross multiply
    1,759.50x = 2,429.12 × 1,162.02
  4. Step 4: Simplify right side
    1,759.50x = 2,822,686.02
  5. Step 5: Solve for x
    x = 2,822,686.02/1,759.50
  6. Step 6: Final answer
    x = 1,604.25

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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.