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Finding the Fourth Proportional to 2,286.10, 3,430.05 and 899.20

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Solution

The fourth proportional to 2,286.10, 3,430.05 and 899.20 is: 1,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.10 : 3,430.05 = 899.20 : x
  2. Step 2: Convert to fraction form
    2,286.10/3,430.05 = 899.20/x
  3. Step 3: Cross multiply
    2,286.10x = 3,430.05 × 899.20
  4. Step 4: Simplify right side
    2,286.10x = 3,084,300.96
  5. Step 5: Solve for x
    x = 3,084,300.96/2,286.10
  6. Step 6: Final answer
    x = 1,349.15

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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.