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Finding the Fourth Proportional to 1,740.06, 2,401.34 and 954.09

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Solution

The fourth proportional to 1,740.06, 2,401.34 and 954.09 is: 1,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.06 : 2,401.34 = 954.09 : x
  2. Step 2: Convert to fraction form
    1,740.06/2,401.34 = 954.09/x
  3. Step 3: Cross multiply
    1,740.06x = 2,401.34 × 954.09
  4. Step 4: Simplify right side
    1,740.06x = 2,291,089.71
  5. Step 5: Solve for x
    x = 2,291,089.71/1,740.06
  6. Step 6: Final answer
    x = 1,316.67

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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.