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Finding the Fourth Proportional to 2,916.84, 4,023.24 and 1,737

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Solution

The fourth proportional to 2,916.84, 4,023.24 and 1,737 is: 2,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.84 : 4,023.24 = 1,737 : x
  2. Step 2: Convert to fraction form
    2,916.84/4,023.24 = 1,737/x
  3. Step 3: Cross multiply
    2,916.84x = 4,023.24 × 1,737
  4. Step 4: Simplify right side
    2,916.84x = 6,988,367.88
  5. Step 5: Solve for x
    x = 6,988,367.88/2,916.84
  6. Step 6: Final answer
    x = 2,395.87

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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.