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Finding the Fourth Proportional to 2,864.96, 4,290.14 and 2,624.39

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Solution

The fourth proportional to 2,864.96, 4,290.14 and 2,624.39 is: 3,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.96 : 4,290.14 = 2,624.39 : x
  2. Step 2: Convert to fraction form
    2,864.96/4,290.14 = 2,624.39/x
  3. Step 3: Cross multiply
    2,864.96x = 4,290.14 × 2,624.39
  4. Step 4: Simplify right side
    2,864.96x = 11,259,000.51
  5. Step 5: Solve for x
    x = 11,259,000.51/2,864.96
  6. Step 6: Final answer
    x = 3,929.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.