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Finding the Fourth Proportional to 2,445.64, 3,663.57 and 1,209.31

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Solution

The fourth proportional to 2,445.64, 3,663.57 and 1,209.31 is: 1,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.64 : 3,663.57 = 1,209.31 : x
  2. Step 2: Convert to fraction form
    2,445.64/3,663.57 = 1,209.31/x
  3. Step 3: Cross multiply
    2,445.64x = 3,663.57 × 1,209.31
  4. Step 4: Simplify right side
    2,445.64x = 4,430,391.84
  5. Step 5: Solve for x
    x = 4,430,391.84/2,445.64
  6. Step 6: Final answer
    x = 1,811.55

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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.