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Finding the Fourth Proportional to 3,148.49, 4,345.26 and 1,969.94

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Solution

The fourth proportional to 3,148.49, 4,345.26 and 1,969.94 is: 2,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.49 : 4,345.26 = 1,969.94 : x
  2. Step 2: Convert to fraction form
    3,148.49/4,345.26 = 1,969.94/x
  3. Step 3: Cross multiply
    3,148.49x = 4,345.26 × 1,969.94
  4. Step 4: Simplify right side
    3,148.49x = 8,559,901.48
  5. Step 5: Solve for x
    x = 8,559,901.48/3,148.49
  6. Step 6: Final answer
    x = 2,718.73

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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.