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Finding the Fourth Proportional to 3,023.67, 4,536.09 and 1,075.80

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Solution

The fourth proportional to 3,023.67, 4,536.09 and 1,075.80 is: 1,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.67 : 4,536.09 = 1,075.80 : x
  2. Step 2: Convert to fraction form
    3,023.67/4,536.09 = 1,075.80/x
  3. Step 3: Cross multiply
    3,023.67x = 4,536.09 × 1,075.80
  4. Step 4: Simplify right side
    3,023.67x = 4,879,925.62
  5. Step 5: Solve for x
    x = 4,879,925.62/3,023.67
  6. Step 6: Final answer
    x = 1,613.91

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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.