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Finding the Fourth Proportional to 2,823.08, 4,234.90 and 973.96

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Solution

The fourth proportional to 2,823.08, 4,234.90 and 973.96 is: 1,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.08 : 4,234.90 = 973.96 : x
  2. Step 2: Convert to fraction form
    2,823.08/4,234.90 = 973.96/x
  3. Step 3: Cross multiply
    2,823.08x = 4,234.90 × 973.96
  4. Step 4: Simplify right side
    2,823.08x = 4,124,623.20
  5. Step 5: Solve for x
    x = 4,124,623.20/2,823.08
  6. Step 6: Final answer
    x = 1,461.04

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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.