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Finding the Fourth Proportional to 2,376.69, 3,280.05 and 1,329

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Solution

The fourth proportional to 2,376.69, 3,280.05 and 1,329 is: 1,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.69 : 3,280.05 = 1,329 : x
  2. Step 2: Convert to fraction form
    2,376.69/3,280.05 = 1,329/x
  3. Step 3: Cross multiply
    2,376.69x = 3,280.05 × 1,329
  4. Step 4: Simplify right side
    2,376.69x = 4,359,186.45
  5. Step 5: Solve for x
    x = 4,359,186.45/2,376.69
  6. Step 6: Final answer
    x = 1,834.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.