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Finding the Fourth Proportional to 1,760.09, 2,430.92 and 1,199.59

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Solution

The fourth proportional to 1,760.09, 2,430.92 and 1,199.59 is: 1,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.09 : 2,430.92 = 1,199.59 : x
  2. Step 2: Convert to fraction form
    1,760.09/2,430.92 = 1,199.59/x
  3. Step 3: Cross multiply
    1,760.09x = 2,430.92 × 1,199.59
  4. Step 4: Simplify right side
    1,760.09x = 2,916,107.32
  5. Step 5: Solve for x
    x = 2,916,107.32/1,760.09
  6. Step 6: Final answer
    x = 1,656.79

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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.