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Finding the Fourth Proportional to 1,740.13, 2,401.40 and 954.20

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Solution

The fourth proportional to 1,740.13, 2,401.40 and 954.20 is: 1,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.13 : 2,401.40 = 954.20 : x
  2. Step 2: Convert to fraction form
    1,740.13/2,401.40 = 954.20/x
  3. Step 3: Cross multiply
    1,740.13x = 2,401.40 × 954.20
  4. Step 4: Simplify right side
    1,740.13x = 2,291,415.88
  5. Step 5: Solve for x
    x = 2,291,415.88/1,740.13
  6. Step 6: Final answer
    x = 1,316.81

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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.