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Finding the Fourth Proportional to 1,329.70, 1,992.15 and 1,176.10

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Solution

The fourth proportional to 1,329.70, 1,992.15 and 1,176.10 is: 1,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.70 : 1,992.15 = 1,176.10 : x
  2. Step 2: Convert to fraction form
    1,329.70/1,992.15 = 1,176.10/x
  3. Step 3: Cross multiply
    1,329.70x = 1,992.15 × 1,176.10
  4. Step 4: Simplify right side
    1,329.70x = 2,342,967.62
  5. Step 5: Solve for x
    x = 2,342,967.62/1,329.70
  6. Step 6: Final answer
    x = 1,762.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.