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Finding the Fourth Proportional to 1,740.04, 2,401.49 and 993.83

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Solution

The fourth proportional to 1,740.04, 2,401.49 and 993.83 is: 1,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.04 : 2,401.49 = 993.83 : x
  2. Step 2: Convert to fraction form
    1,740.04/2,401.49 = 993.83/x
  3. Step 3: Cross multiply
    1,740.04x = 2,401.49 × 993.83
  4. Step 4: Simplify right side
    1,740.04x = 2,386,672.81
  5. Step 5: Solve for x
    x = 2,386,672.81/1,740.04
  6. Step 6: Final answer
    x = 1,371.62

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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.