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Finding the Fourth Proportional to 3,057.46, 4,218.78 and 1,780.90

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Solution

The fourth proportional to 3,057.46, 4,218.78 and 1,780.90 is: 2,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.46 : 4,218.78 = 1,780.90 : x
  2. Step 2: Convert to fraction form
    3,057.46/4,218.78 = 1,780.90/x
  3. Step 3: Cross multiply
    3,057.46x = 4,218.78 × 1,780.90
  4. Step 4: Simplify right side
    3,057.46x = 7,513,225.30
  5. Step 5: Solve for x
    x = 7,513,225.30/3,057.46
  6. Step 6: Final answer
    x = 2,457.34

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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.