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Finding the Fourth Proportional to 1,760.74, 2,429.37 and 1,052.30

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Solution

The fourth proportional to 1,760.74, 2,429.37 and 1,052.30 is: 1,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.74 : 2,429.37 = 1,052.30 : x
  2. Step 2: Convert to fraction form
    1,760.74/2,429.37 = 1,052.30/x
  3. Step 3: Cross multiply
    1,760.74x = 2,429.37 × 1,052.30
  4. Step 4: Simplify right side
    1,760.74x = 2,556,418.46
  5. Step 5: Solve for x
    x = 2,556,418.46/1,760.74
  6. Step 6: Final answer
    x = 1,451.90

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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.