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Finding the Fourth Proportional to 3,148.96, 4,346.90 and 1,969.76

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Solution

The fourth proportional to 3,148.96, 4,346.90 and 1,969.76 is: 2,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.96 : 4,346.90 = 1,969.76 : x
  2. Step 2: Convert to fraction form
    3,148.96/4,346.90 = 1,969.76/x
  3. Step 3: Cross multiply
    3,148.96x = 4,346.90 × 1,969.76
  4. Step 4: Simplify right side
    3,148.96x = 8,562,349.74
  5. Step 5: Solve for x
    x = 8,562,349.74/3,148.96
  6. Step 6: Final answer
    x = 2,719.10

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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.