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Finding the Fourth Proportional to 2,900.08, 4,002 and 1,573.74

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Solution

The fourth proportional to 2,900.08, 4,002 and 1,573.74 is: 2,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.08 : 4,002 = 1,573.74 : x
  2. Step 2: Convert to fraction form
    2,900.08/4,002 = 1,573.74/x
  3. Step 3: Cross multiply
    2,900.08x = 4,002 × 1,573.74
  4. Step 4: Simplify right side
    2,900.08x = 6,298,107.48
  5. Step 5: Solve for x
    x = 6,298,107.48/2,900.08
  6. Step 6: Final answer
    x = 2,171.70

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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.