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Finding the Fourth Proportional to 2,430.30, 3,645.45 and 2,286.30

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Solution

The fourth proportional to 2,430.30, 3,645.45 and 2,286.30 is: 3,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.30 : 3,645.45 = 2,286.30 : x
  2. Step 2: Convert to fraction form
    2,430.30/3,645.45 = 2,286.30/x
  3. Step 3: Cross multiply
    2,430.30x = 3,645.45 × 2,286.30
  4. Step 4: Simplify right side
    2,430.30x = 8,334,592.34
  5. Step 5: Solve for x
    x = 8,334,592.34/2,430.30
  6. Step 6: Final answer
    x = 3,429.45

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