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Finding the Fourth Proportional to 2,505.54, 3,457.12 and 1,457.04

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Solution

The fourth proportional to 2,505.54, 3,457.12 and 1,457.04 is: 2,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.54 : 3,457.12 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    2,505.54/3,457.12 = 1,457.04/x
  3. Step 3: Cross multiply
    2,505.54x = 3,457.12 × 1,457.04
  4. Step 4: Simplify right side
    2,505.54x = 5,037,162.12
  5. Step 5: Solve for x
    x = 5,037,162.12/2,505.54
  6. Step 6: Final answer
    x = 2,010.41

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1.5x scale

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.