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Finding the Fourth Proportional to 2,402.60, 3,598.04 and 1,984.34

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Solution

The fourth proportional to 2,402.60, 3,598.04 and 1,984.34 is: 2,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.60 : 3,598.04 = 1,984.34 : x
  2. Step 2: Convert to fraction form
    2,402.60/3,598.04 = 1,984.34/x
  3. Step 3: Cross multiply
    2,402.60x = 3,598.04 × 1,984.34
  4. Step 4: Simplify right side
    2,402.60x = 7,139,734.69
  5. Step 5: Solve for x
    x = 7,139,734.69/2,402.60
  6. Step 6: Final answer
    x = 2,971.67

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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.