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Finding the Fourth Proportional to 2,984.63, 4,478.58 and 1,445.63

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Solution

The fourth proportional to 2,984.63, 4,478.58 and 1,445.63 is: 2,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.63 : 4,478.58 = 1,445.63 : x
  2. Step 2: Convert to fraction form
    2,984.63/4,478.58 = 1,445.63/x
  3. Step 3: Cross multiply
    2,984.63x = 4,478.58 × 1,445.63
  4. Step 4: Simplify right side
    2,984.63x = 6,474,347.21
  5. Step 5: Solve for x
    x = 6,474,347.21/2,984.63
  6. Step 6: Final answer
    x = 2,169.23

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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.