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Finding the Fourth Proportional to 2,920.96, 4,026.12 and 2,070.50

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Solution

The fourth proportional to 2,920.96, 4,026.12 and 2,070.50 is: 2,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.96 : 4,026.12 = 2,070.50 : x
  2. Step 2: Convert to fraction form
    2,920.96/4,026.12 = 2,070.50/x
  3. Step 3: Cross multiply
    2,920.96x = 4,026.12 × 2,070.50
  4. Step 4: Simplify right side
    2,920.96x = 8,336,061.33
  5. Step 5: Solve for x
    x = 8,336,061.33/2,920.96
  6. Step 6: Final answer
    x = 2,853.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.