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Finding the Fourth Proportional to 2,505.64, 3,457.38 and 1,573.48

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Solution

The fourth proportional to 2,505.64, 3,457.38 and 1,573.48 is: 2,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.64 : 3,457.38 = 1,573.48 : x
  2. Step 2: Convert to fraction form
    2,505.64/3,457.38 = 1,573.48/x
  3. Step 3: Cross multiply
    2,505.64x = 3,457.38 × 1,573.48
  4. Step 4: Simplify right side
    2,505.64x = 5,440,118.28
  5. Step 5: Solve for x
    x = 5,440,118.28/2,505.64
  6. Step 6: Final answer
    x = 2,171.15

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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.