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Finding the Fourth Proportional to 2,808.46, 4,207.90 and 1,985.15

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Solution

The fourth proportional to 2,808.46, 4,207.90 and 1,985.15 is: 2,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.46 : 4,207.90 = 1,985.15 : x
  2. Step 2: Convert to fraction form
    2,808.46/4,207.90 = 1,985.15/x
  3. Step 3: Cross multiply
    2,808.46x = 4,207.90 × 1,985.15
  4. Step 4: Simplify right side
    2,808.46x = 8,353,312.69
  5. Step 5: Solve for x
    x = 8,353,312.69/2,808.46
  6. Step 6: Final answer
    x = 2,974.34

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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.