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Finding the Fourth Proportional to 2,929.95, 4,395.66 and 2,065.95

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Solution

The fourth proportional to 2,929.95, 4,395.66 and 2,065.95 is: 3,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.95 : 4,395.66 = 2,065.95 : x
  2. Step 2: Convert to fraction form
    2,929.95/4,395.66 = 2,065.95/x
  3. Step 3: Cross multiply
    2,929.95x = 4,395.66 × 2,065.95
  4. Step 4: Simplify right side
    2,929.95x = 9,081,213.78
  5. Step 5: Solve for x
    x = 9,081,213.78/2,929.95
  6. Step 6: Final answer
    x = 3,099.44

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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.