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Finding the Fourth Proportional to 3,091.26, 4,637.35 and 899.70

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Solution

The fourth proportional to 3,091.26, 4,637.35 and 899.70 is: 1,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.26 : 4,637.35 = 899.70 : x
  2. Step 2: Convert to fraction form
    3,091.26/4,637.35 = 899.70/x
  3. Step 3: Cross multiply
    3,091.26x = 4,637.35 × 899.70
  4. Step 4: Simplify right side
    3,091.26x = 4,172,219.30
  5. Step 5: Solve for x
    x = 4,172,219.30/3,091.26
  6. Step 6: Final answer
    x = 1,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.