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Finding the Fourth Proportional to 2,132.02, 3,199.26 and 899.35

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Solution

The fourth proportional to 2,132.02, 3,199.26 and 899.35 is: 1,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.02 : 3,199.26 = 899.35 : x
  2. Step 2: Convert to fraction form
    2,132.02/3,199.26 = 899.35/x
  3. Step 3: Cross multiply
    2,132.02x = 3,199.26 × 899.35
  4. Step 4: Simplify right side
    2,132.02x = 2,877,254.48
  5. Step 5: Solve for x
    x = 2,877,254.48/2,132.02
  6. Step 6: Final answer
    x = 1,349.54

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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.