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Finding the Fourth Proportional to 2,871.99, 4,308.21 and 924.26

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Solution

The fourth proportional to 2,871.99, 4,308.21 and 924.26 is: 1,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.99 : 4,308.21 = 924.26 : x
  2. Step 2: Convert to fraction form
    2,871.99/4,308.21 = 924.26/x
  3. Step 3: Cross multiply
    2,871.99x = 4,308.21 × 924.26
  4. Step 4: Simplify right side
    2,871.99x = 3,981,884.63
  5. Step 5: Solve for x
    x = 3,981,884.63/2,871.99
  6. Step 6: Final answer
    x = 1,386.45

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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.