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Finding the Fourth Proportional to 2,484, 3,427.96 and 1,380

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Solution

The fourth proportional to 2,484, 3,427.96 and 1,380 is: 1,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484 : 3,427.96 = 1,380 : x
  2. Step 2: Convert to fraction form
    2,484/3,427.96 = 1,380/x
  3. Step 3: Cross multiply
    2,484x = 3,427.96 × 1,380
  4. Step 4: Simplify right side
    2,484x = 4,730,584.80
  5. Step 5: Solve for x
    x = 4,730,584.80/2,484
  6. Step 6: Final answer
    x = 1,904.42

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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.