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Finding the Fourth Proportional to 3,158.08, 4,358 and 1,760.80

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Solution

The fourth proportional to 3,158.08, 4,358 and 1,760.80 is: 2,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.08 : 4,358 = 1,760.80 : x
  2. Step 2: Convert to fraction form
    3,158.08/4,358 = 1,760.80/x
  3. Step 3: Cross multiply
    3,158.08x = 4,358 × 1,760.80
  4. Step 4: Simplify right side
    3,158.08x = 7,673,566.40
  5. Step 5: Solve for x
    x = 7,673,566.40/3,158.08
  6. Step 6: Final answer
    x = 2,429.82

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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.