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Finding the Fourth Proportional to 2,949.84, 4,420.62 and 2,330.82

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Solution

The fourth proportional to 2,949.84, 4,420.62 and 2,330.82 is: 3,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.84 : 4,420.62 = 2,330.82 : x
  2. Step 2: Convert to fraction form
    2,949.84/4,420.62 = 2,330.82/x
  3. Step 3: Cross multiply
    2,949.84x = 4,420.62 × 2,330.82
  4. Step 4: Simplify right side
    2,949.84x = 10,303,669.51
  5. Step 5: Solve for x
    x = 10,303,669.51/2,949.84
  6. Step 6: Final answer
    x = 3,492.96

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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.