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Finding the Fourth Proportional to 2,939.32, 4,056.03 and 1,613.02

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Solution

The fourth proportional to 2,939.32, 4,056.03 and 1,613.02 is: 2,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.32 : 4,056.03 = 1,613.02 : x
  2. Step 2: Convert to fraction form
    2,939.32/4,056.03 = 1,613.02/x
  3. Step 3: Cross multiply
    2,939.32x = 4,056.03 × 1,613.02
  4. Step 4: Simplify right side
    2,939.32x = 6,542,457.51
  5. Step 5: Solve for x
    x = 6,542,457.51/2,939.32
  6. Step 6: Final answer
    x = 2,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.