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Finding the Fourth Proportional to 3,075.30, 4,613.10 and 1,617.30

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Solution

The fourth proportional to 3,075.30, 4,613.10 and 1,617.30 is: 2,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.30 : 4,613.10 = 1,617.30 : x
  2. Step 2: Convert to fraction form
    3,075.30/4,613.10 = 1,617.30/x
  3. Step 3: Cross multiply
    3,075.30x = 4,613.10 × 1,617.30
  4. Step 4: Simplify right side
    3,075.30x = 7,460,766.63
  5. Step 5: Solve for x
    x = 7,460,766.63/3,075.30
  6. Step 6: Final answer
    x = 2,426.03

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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.