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Finding the Fourth Proportional to 2,939.96, 4,057.16 and 1,613.76

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Solution

The fourth proportional to 2,939.96, 4,057.16 and 1,613.76 is: 2,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.96 : 4,057.16 = 1,613.76 : x
  2. Step 2: Convert to fraction form
    2,939.96/4,057.16 = 1,613.76/x
  3. Step 3: Cross multiply
    2,939.96x = 4,057.16 × 1,613.76
  4. Step 4: Simplify right side
    2,939.96x = 6,547,282.52
  5. Step 5: Solve for x
    x = 6,547,282.52/2,939.96
  6. Step 6: Final answer
    x = 2,227.00

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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.