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Finding the Fourth Proportional to 1,457.01, 2,185.99 and 871.92

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Solution

The fourth proportional to 1,457.01, 2,185.99 and 871.92 is: 1,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.01 : 2,185.99 = 871.92 : x
  2. Step 2: Convert to fraction form
    1,457.01/2,185.99 = 871.92/x
  3. Step 3: Cross multiply
    1,457.01x = 2,185.99 × 871.92
  4. Step 4: Simplify right side
    1,457.01x = 1,906,006.22
  5. Step 5: Solve for x
    x = 1,906,006.22/1,457.01
  6. Step 6: Final answer
    x = 1,308.16

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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.