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Finding the Fourth Proportional to 3,140.64, 4,334.28 and 1,743.40

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Solution

The fourth proportional to 3,140.64, 4,334.28 and 1,743.40 is: 2,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.64 : 4,334.28 = 1,743.40 : x
  2. Step 2: Convert to fraction form
    3,140.64/4,334.28 = 1,743.40/x
  3. Step 3: Cross multiply
    3,140.64x = 4,334.28 × 1,743.40
  4. Step 4: Simplify right side
    3,140.64x = 7,556,383.75
  5. Step 5: Solve for x
    x = 7,556,383.75/3,140.64
  6. Step 6: Final answer
    x = 2,406.00

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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.