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Finding the Fourth Proportional to 2,328.93, 3,214.18 and 1,384.95

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Solution

The fourth proportional to 2,328.93, 3,214.18 and 1,384.95 is: 1,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.93 : 3,214.18 = 1,384.95 : x
  2. Step 2: Convert to fraction form
    2,328.93/3,214.18 = 1,384.95/x
  3. Step 3: Cross multiply
    2,328.93x = 3,214.18 × 1,384.95
  4. Step 4: Simplify right side
    2,328.93x = 4,451,478.59
  5. Step 5: Solve for x
    x = 4,451,478.59/2,328.93
  6. Step 6: Final answer
    x = 1,911.38

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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.