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Finding the Fourth Proportional to 2,073.32, 3,116.12 and 1,920.54

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Solution

The fourth proportional to 2,073.32, 3,116.12 and 1,920.54 is: 2,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.32 : 3,116.12 = 1,920.54 : x
  2. Step 2: Convert to fraction form
    2,073.32/3,116.12 = 1,920.54/x
  3. Step 3: Cross multiply
    2,073.32x = 3,116.12 × 1,920.54
  4. Step 4: Simplify right side
    2,073.32x = 5,984,623.50
  5. Step 5: Solve for x
    x = 5,984,623.50/2,073.32
  6. Step 6: Final answer
    x = 2,886.50

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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.