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Finding the Fourth Proportional to 2,994.29, 4,484.46 and 2,890.47

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Solution

The fourth proportional to 2,994.29, 4,484.46 and 2,890.47 is: 4,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.29 : 4,484.46 = 2,890.47 : x
  2. Step 2: Convert to fraction form
    2,994.29/4,484.46 = 2,890.47/x
  3. Step 3: Cross multiply
    2,994.29x = 4,484.46 × 2,890.47
  4. Step 4: Simplify right side
    2,994.29x = 12,962,197.10
  5. Step 5: Solve for x
    x = 12,962,197.10/2,994.29
  6. Step 6: Final answer
    x = 4,328.98

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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.