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Finding the Fourth Proportional to 3,075.80, 4,613.94 and 1,516.64

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Solution

The fourth proportional to 3,075.80, 4,613.94 and 1,516.64 is: 2,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.80 : 4,613.94 = 1,516.64 : x
  2. Step 2: Convert to fraction form
    3,075.80/4,613.94 = 1,516.64/x
  3. Step 3: Cross multiply
    3,075.80x = 4,613.94 × 1,516.64
  4. Step 4: Simplify right side
    3,075.80x = 6,997,685.96
  5. Step 5: Solve for x
    x = 6,997,685.96/3,075.80
  6. Step 6: Final answer
    x = 2,275.08

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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.