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Finding the Fourth Proportional to 3,045.44, 4,567.22 and 1,583.80

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Solution

The fourth proportional to 3,045.44, 4,567.22 and 1,583.80 is: 2,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.44 : 4,567.22 = 1,583.80 : x
  2. Step 2: Convert to fraction form
    3,045.44/4,567.22 = 1,583.80/x
  3. Step 3: Cross multiply
    3,045.44x = 4,567.22 × 1,583.80
  4. Step 4: Simplify right side
    3,045.44x = 7,233,563.04
  5. Step 5: Solve for x
    x = 7,233,563.04/3,045.44
  6. Step 6: Final answer
    x = 2,375.21

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1.5x scale

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.