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Finding the Fourth Proportional to 2,990.84, 4,483.90 and 1,234.84

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Solution

The fourth proportional to 2,990.84, 4,483.90 and 1,234.84 is: 1,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.84 : 4,483.90 = 1,234.84 : x
  2. Step 2: Convert to fraction form
    2,990.84/4,483.90 = 1,234.84/x
  3. Step 3: Cross multiply
    2,990.84x = 4,483.90 × 1,234.84
  4. Step 4: Simplify right side
    2,990.84x = 5,536,899.08
  5. Step 5: Solve for x
    x = 5,536,899.08/2,990.84
  6. Step 6: Final answer
    x = 1,851.29

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Why These Related Problems?

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