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Finding the Fourth Proportional to 3,214.60, 4,820.10 and 1,365.40

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Solution

The fourth proportional to 3,214.60, 4,820.10 and 1,365.40 is: 2,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.60 : 4,820.10 = 1,365.40 : x
  2. Step 2: Convert to fraction form
    3,214.60/4,820.10 = 1,365.40/x
  3. Step 3: Cross multiply
    3,214.60x = 4,820.10 × 1,365.40
  4. Step 4: Simplify right side
    3,214.60x = 6,581,364.54
  5. Step 5: Solve for x
    x = 6,581,364.54/3,214.60
  6. Step 6: Final answer
    x = 2,047.34

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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.