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Finding the Fourth Proportional to 2,504.81, 3,457.13 and 1,457.07

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Solution

The fourth proportional to 2,504.81, 3,457.13 and 1,457.07 is: 2,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.81 : 3,457.13 = 1,457.07 : x
  2. Step 2: Convert to fraction form
    2,504.81/3,457.13 = 1,457.07/x
  3. Step 3: Cross multiply
    2,504.81x = 3,457.13 × 1,457.07
  4. Step 4: Simplify right side
    2,504.81x = 5,037,273.12
  5. Step 5: Solve for x
    x = 5,037,273.12/2,504.81
  6. Step 6: Final answer
    x = 2,011.04

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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.