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Finding the Fourth Proportional to 2,273.90, 3,410.50 and 1,457.87

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Solution

The fourth proportional to 2,273.90, 3,410.50 and 1,457.87 is: 2,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.90 : 3,410.50 = 1,457.87 : x
  2. Step 2: Convert to fraction form
    2,273.90/3,410.50 = 1,457.87/x
  3. Step 3: Cross multiply
    2,273.90x = 3,410.50 × 1,457.87
  4. Step 4: Simplify right side
    2,273.90x = 4,972,065.64
  5. Step 5: Solve for x
    x = 4,972,065.64/2,273.90
  6. Step 6: Final answer
    x = 2,186.58

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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.