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Finding the Fourth Proportional to 2,283.04, 3,422.50 and 801.19

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Solution

The fourth proportional to 2,283.04, 3,422.50 and 801.19 is: 1,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.04 : 3,422.50 = 801.19 : x
  2. Step 2: Convert to fraction form
    2,283.04/3,422.50 = 801.19/x
  3. Step 3: Cross multiply
    2,283.04x = 3,422.50 × 801.19
  4. Step 4: Simplify right side
    2,283.04x = 2,742,079.56
  5. Step 5: Solve for x
    x = 2,742,079.56/2,283.04
  6. Step 6: Final answer
    x = 1,201.07

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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.