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Finding the Fourth Proportional to 1,874.19, 2,811.33 and 487.49

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Solution

The fourth proportional to 1,874.19, 2,811.33 and 487.49 is: 731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.19 : 2,811.33 = 487.49 : x
  2. Step 2: Convert to fraction form
    1,874.19/2,811.33 = 487.49/x
  3. Step 3: Cross multiply
    1,874.19x = 2,811.33 × 487.49
  4. Step 4: Simplify right side
    1,874.19x = 1,370,506.30
  5. Step 5: Solve for x
    x = 1,370,506.30/1,874.19
  6. Step 6: Final answer
    x = 731.25

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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.