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Finding the Fourth Proportional to 2,916.98, 4,025 and 1,738.02

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Solution

The fourth proportional to 2,916.98, 4,025 and 1,738.02 is: 2,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.98 : 4,025 = 1,738.02 : x
  2. Step 2: Convert to fraction form
    2,916.98/4,025 = 1,738.02/x
  3. Step 3: Cross multiply
    2,916.98x = 4,025 × 1,738.02
  4. Step 4: Simplify right side
    2,916.98x = 6,995,530.50
  5. Step 5: Solve for x
    x = 6,995,530.50/2,916.98
  6. Step 6: Final answer
    x = 2,398.21

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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.