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Finding the Fourth Proportional to 1,760.74, 2,429.79 and 1,062.11

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Solution

The fourth proportional to 1,760.74, 2,429.79 and 1,062.11 is: 1,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.74 : 2,429.79 = 1,062.11 : x
  2. Step 2: Convert to fraction form
    1,760.74/2,429.79 = 1,062.11/x
  3. Step 3: Cross multiply
    1,760.74x = 2,429.79 × 1,062.11
  4. Step 4: Simplify right side
    1,760.74x = 2,580,704.26
  5. Step 5: Solve for x
    x = 2,580,704.26/1,760.74
  6. Step 6: Final answer
    x = 1,465.69

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Why These Related Problems?

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