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Finding the Fourth Proportional to 2,830.56, 4,246.92 and 1,075.44

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Solution

The fourth proportional to 2,830.56, 4,246.92 and 1,075.44 is: 1,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.56 : 4,246.92 = 1,075.44 : x
  2. Step 2: Convert to fraction form
    2,830.56/4,246.92 = 1,075.44/x
  3. Step 3: Cross multiply
    2,830.56x = 4,246.92 × 1,075.44
  4. Step 4: Simplify right side
    2,830.56x = 4,567,307.64
  5. Step 5: Solve for x
    x = 4,567,307.64/2,830.56
  6. Step 6: Final answer
    x = 1,613.57

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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.