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Finding the Fourth Proportional to 2,308.42, 3,463.14 and 1,075.18

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Solution

The fourth proportional to 2,308.42, 3,463.14 and 1,075.18 is: 1,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.42 : 3,463.14 = 1,075.18 : x
  2. Step 2: Convert to fraction form
    2,308.42/3,463.14 = 1,075.18/x
  3. Step 3: Cross multiply
    2,308.42x = 3,463.14 × 1,075.18
  4. Step 4: Simplify right side
    2,308.42x = 3,723,498.87
  5. Step 5: Solve for x
    x = 3,723,498.87/2,308.42
  6. Step 6: Final answer
    x = 1,613.01

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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.