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Finding the Fourth Proportional to 2,071.50, 3,088.97 and 1,920.84

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Solution

The fourth proportional to 2,071.50, 3,088.97 and 1,920.84 is: 2,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.50 : 3,088.97 = 1,920.84 : x
  2. Step 2: Convert to fraction form
    2,071.50/3,088.97 = 1,920.84/x
  3. Step 3: Cross multiply
    2,071.50x = 3,088.97 × 1,920.84
  4. Step 4: Simplify right side
    2,071.50x = 5,933,407.53
  5. Step 5: Solve for x
    x = 5,933,407.53/2,071.50
  6. Step 6: Final answer
    x = 2,864.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.