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Finding the Fourth Proportional to 2,924.81, 4,387.07 and 1,075.81

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Solution

The fourth proportional to 2,924.81, 4,387.07 and 1,075.81 is: 1,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.81 : 4,387.07 = 1,075.81 : x
  2. Step 2: Convert to fraction form
    2,924.81/4,387.07 = 1,075.81/x
  3. Step 3: Cross multiply
    2,924.81x = 4,387.07 × 1,075.81
  4. Step 4: Simplify right side
    2,924.81x = 4,719,653.78
  5. Step 5: Solve for x
    x = 4,719,653.78/2,924.81
  6. Step 6: Final answer
    x = 1,613.66

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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.