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Finding the Fourth Proportional to 3,101, 4,652.84 and 1,457.40

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Solution

The fourth proportional to 3,101, 4,652.84 and 1,457.40 is: 2,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101 : 4,652.84 = 1,457.40 : x
  2. Step 2: Convert to fraction form
    3,101/4,652.84 = 1,457.40/x
  3. Step 3: Cross multiply
    3,101x = 4,652.84 × 1,457.40
  4. Step 4: Simplify right side
    3,101x = 6,781,049.02
  5. Step 5: Solve for x
    x = 6,781,049.02/3,101
  6. Step 6: Final answer
    x = 2,186.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.