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Finding the Fourth Proportional to 2,979.62, 4,111.62 and 1,653.30

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Solution

The fourth proportional to 2,979.62, 4,111.62 and 1,653.30 is: 2,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.62 : 4,111.62 = 1,653.30 : x
  2. Step 2: Convert to fraction form
    2,979.62/4,111.62 = 1,653.30/x
  3. Step 3: Cross multiply
    2,979.62x = 4,111.62 × 1,653.30
  4. Step 4: Simplify right side
    2,979.62x = 6,797,741.35
  5. Step 5: Solve for x
    x = 6,797,741.35/2,979.62
  6. Step 6: Final answer
    x = 2,281.41

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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.