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Finding the Fourth Proportional to 1,740.04, 2,401.43 and 993.85

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Solution

The fourth proportional to 1,740.04, 2,401.43 and 993.85 is: 1,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.04 : 2,401.43 = 993.85 : x
  2. Step 2: Convert to fraction form
    1,740.04/2,401.43 = 993.85/x
  3. Step 3: Cross multiply
    1,740.04x = 2,401.43 × 993.85
  4. Step 4: Simplify right side
    1,740.04x = 2,386,650.23
  5. Step 5: Solve for x
    x = 2,386,650.23/1,740.04
  6. Step 6: Final answer
    x = 1,371.61

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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.