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Finding the Fourth Proportional to 3,157.66, 4,357.83 and 1,760.50

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Solution

The fourth proportional to 3,157.66, 4,357.83 and 1,760.50 is: 2,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.66 : 4,357.83 = 1,760.50 : x
  2. Step 2: Convert to fraction form
    3,157.66/4,357.83 = 1,760.50/x
  3. Step 3: Cross multiply
    3,157.66x = 4,357.83 × 1,760.50
  4. Step 4: Simplify right side
    3,157.66x = 7,671,959.72
  5. Step 5: Solve for x
    x = 7,671,959.72/3,157.66
  6. Step 6: Final answer
    x = 2,429.63

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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.