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Finding the Fourth Proportional to 2,505.01, 3,457.34 and 1,457.68

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Solution

The fourth proportional to 2,505.01, 3,457.34 and 1,457.68 is: 2,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.01 : 3,457.34 = 1,457.68 : x
  2. Step 2: Convert to fraction form
    2,505.01/3,457.34 = 1,457.68/x
  3. Step 3: Cross multiply
    2,505.01x = 3,457.34 × 1,457.68
  4. Step 4: Simplify right side
    2,505.01x = 5,039,695.37
  5. Step 5: Solve for x
    x = 5,039,695.37/2,505.01
  6. Step 6: Final answer
    x = 2,011.85

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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.