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Finding the Fourth Proportional to 2,140.80, 2,953.28 and 1,394.48

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Solution

The fourth proportional to 2,140.80, 2,953.28 and 1,394.48 is: 1,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 2,953.28 = 1,394.48 : x
  2. Step 2: Convert to fraction form
    2,140.80/2,953.28 = 1,394.48/x
  3. Step 3: Cross multiply
    2,140.80x = 2,953.28 × 1,394.48
  4. Step 4: Simplify right side
    2,140.80x = 4,118,268.16
  5. Step 5: Solve for x
    x = 4,118,268.16/2,140.80
  6. Step 6: Final answer
    x = 1,923.71

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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.