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Finding the Fourth Proportional to 2,672.42, 3,999.99 and 1,574.06

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Solution

The fourth proportional to 2,672.42, 3,999.99 and 1,574.06 is: 2,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.42 : 3,999.99 = 1,574.06 : x
  2. Step 2: Convert to fraction form
    2,672.42/3,999.99 = 1,574.06/x
  3. Step 3: Cross multiply
    2,672.42x = 3,999.99 × 1,574.06
  4. Step 4: Simplify right side
    2,672.42x = 6,296,224.26
  5. Step 5: Solve for x
    x = 6,296,224.26/2,672.42
  6. Step 6: Final answer
    x = 2,356.00

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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.