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Finding the Fourth Proportional to 2,376.96, 3,280.32 and 1,329

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Solution

The fourth proportional to 2,376.96, 3,280.32 and 1,329 is: 1,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.96 : 3,280.32 = 1,329 : x
  2. Step 2: Convert to fraction form
    2,376.96/3,280.32 = 1,329/x
  3. Step 3: Cross multiply
    2,376.96x = 3,280.32 × 1,329
  4. Step 4: Simplify right side
    2,376.96x = 4,359,545.28
  5. Step 5: Solve for x
    x = 4,359,545.28/2,376.96
  6. Step 6: Final answer
    x = 1,834.08

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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.