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Finding the Fourth Proportional to 2,900, 4,002 and 1,658

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Solution

The fourth proportional to 2,900, 4,002 and 1,658 is: 2,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900 : 4,002 = 1,658 : x
  2. Step 2: Convert to fraction form
    2,900/4,002 = 1,658/x
  3. Step 3: Cross multiply
    2,900x = 4,002 × 1,658
  4. Step 4: Simplify right side
    2,900x = 6,635,316
  5. Step 5: Solve for x
    x = 6,635,316/2,900
  6. Step 6: Final answer
    x = 2,288.04

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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.