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Finding the Fourth Proportional to 2,838.30, 3,916.24 and 1,719.02

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Solution

The fourth proportional to 2,838.30, 3,916.24 and 1,719.02 is: 2,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.30 : 3,916.24 = 1,719.02 : x
  2. Step 2: Convert to fraction form
    2,838.30/3,916.24 = 1,719.02/x
  3. Step 3: Cross multiply
    2,838.30x = 3,916.24 × 1,719.02
  4. Step 4: Simplify right side
    2,838.30x = 6,732,094.88
  5. Step 5: Solve for x
    x = 6,732,094.88/2,838.30
  6. Step 6: Final answer
    x = 2,371.88

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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.