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Finding the Fourth Proportional to 2,215.85, 3,322.91 and 899.60

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Solution

The fourth proportional to 2,215.85, 3,322.91 and 899.60 is: 1,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.85 : 3,322.91 = 899.60 : x
  2. Step 2: Convert to fraction form
    2,215.85/3,322.91 = 899.60/x
  3. Step 3: Cross multiply
    2,215.85x = 3,322.91 × 899.60
  4. Step 4: Simplify right side
    2,215.85x = 2,989,275.47
  5. Step 5: Solve for x
    x = 2,989,275.47/2,215.85
  6. Step 6: Final answer
    x = 1,349.05

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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.