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Finding the Fourth Proportional to 2,704.30, 4,054.02 and 1,404.28

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Solution

The fourth proportional to 2,704.30, 4,054.02 and 1,404.28 is: 2,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.30 : 4,054.02 = 1,404.28 : x
  2. Step 2: Convert to fraction form
    2,704.30/4,054.02 = 1,404.28/x
  3. Step 3: Cross multiply
    2,704.30x = 4,054.02 × 1,404.28
  4. Step 4: Simplify right side
    2,704.30x = 5,692,979.21
  5. Step 5: Solve for x
    x = 5,692,979.21/2,704.30
  6. Step 6: Final answer
    x = 2,105.16

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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.