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Finding the Fourth Proportional to 2,654.72, 3,979.74 and 1,421

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Solution

The fourth proportional to 2,654.72, 3,979.74 and 1,421 is: 2,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.72 : 3,979.74 = 1,421 : x
  2. Step 2: Convert to fraction form
    2,654.72/3,979.74 = 1,421/x
  3. Step 3: Cross multiply
    2,654.72x = 3,979.74 × 1,421
  4. Step 4: Simplify right side
    2,654.72x = 5,655,210.54
  5. Step 5: Solve for x
    x = 5,655,210.54/2,654.72
  6. Step 6: Final answer
    x = 2,130.25

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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.