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Finding the Fourth Proportional to 2,899.25, 4,000.97 and 1,657.25

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Solution

The fourth proportional to 2,899.25, 4,000.97 and 1,657.25 is: 2,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.25 : 4,000.97 = 1,657.25 : x
  2. Step 2: Convert to fraction form
    2,899.25/4,000.97 = 1,657.25/x
  3. Step 3: Cross multiply
    2,899.25x = 4,000.97 × 1,657.25
  4. Step 4: Simplify right side
    2,899.25x = 6,630,607.53
  5. Step 5: Solve for x
    x = 6,630,607.53/2,899.25
  6. Step 6: Final answer
    x = 2,287.01

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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.